{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import math\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.fftpack import fft,ifft\n",
    "import pandas as pd\n",
    "from scipy.optimize import minimize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 参考 08 Arevalo 取log bin的函数\n",
    "\n",
    "def databin_are(lst,f):\n",
    "    result = [[]]\n",
    "    f_length = len(f)\n",
    "    f_i = f[0]\n",
    "    for i in range(f_length):\n",
    "        if f[i]<=1.3*f_i:\n",
    "            result[-1].append(math.log(lst[i],10))\n",
    "        else:\n",
    "            if len(result[-1])<=2:\n",
    "                result[-1].append(math.log(lst[i],10))\n",
    "            else:\n",
    "                result.append([])\n",
    "                result[-1].append(math.log(lst[i],10))\n",
    "                f_i = f[i]\n",
    "    result.pop()\n",
    "    output=[]\n",
    "    for j in range(len(result)):\n",
    "        output.append(np.mean(result[j]))\n",
    "    return output        \n",
    "            \n",
    "\n",
    "def databin_are_std(lst,f):\n",
    "    result = [[]]\n",
    "    f_length = len(f)\n",
    "    f_i = f[0]\n",
    "    for i in range(f_length):\n",
    "        if f[i]<=1.3*f_i:\n",
    "            result[-1].append(math.log(lst[i],10))\n",
    "        else:\n",
    "            if len(result[-1])<=2:\n",
    "                result[-1].append(math.log(lst[i],10))\n",
    "            else:\n",
    "                result.append([])\n",
    "                result[-1].append(math.log(lst[i],10))\n",
    "                f_i = f[i]\n",
    "    result.pop()\n",
    "    output=[]\n",
    "    for j in range(len(result)):\n",
    "        output.append(np.std(result[j]))\n",
    "    return output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data00_a = pd.read_csv(\"03_1_tb50(00).csv\")  \n",
    "data00_a['RATE'] = data00_a['RATE'].interpolate()\n",
    "\n",
    "\n",
    "dt=50\n",
    "counts_data = data00_a['RATE']\n",
    "N=len(counts_data)\n",
    "pnum = np.arange(len(counts_data))\n",
    "t = [i*dt for i in pnum]\n",
    "\n",
    "\n",
    "nf = N/2\n",
    "df = 1/(dt*N)\n",
    "F_a = np.arange(1,nf+1)\n",
    "F = [i*df for i in F_a]\n",
    "F1 = F[0:int(nf)]\n",
    "mean_x = np.mean(counts_data)\n",
    "dft = fft(counts_data)\n",
    "dft1= dft[1:int(nf)+1]\n",
    "per_data = (abs(dft1)**2)*2*dt/((mean_x**2)*N)\n",
    "p_times_f_data = np.multiply(np.array(F1),np.array(per_data))\n",
    "\n",
    "F1_log = [math.log(i,10) for i in F1]\n",
    "ptf_data_log = [math.log(i,10) for i in p_times_f_data]\n",
    "\n",
    "# 数据分bin\n",
    "F1_binned_00_a = databin_are(F1,F1)\n",
    "per_data_binned_00_a = databin_are(per_data,F1)\n",
    "per_data_b_std_00_a = databin_are_std(per_data,F1)\n",
    "p_times_f_data_b_00_a = np.array(F1_binned_00_a)+np.array(per_data_binned_00_a)\n",
    "\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(F1_log, ptf_data_log, color=\"b\", alpha=0.3, linewidth=1)\n",
    "plt.scatter(F1_binned_00_a, p_times_f_data_b_00_a, color=\"r\", linewidth=1) \n",
    "plt.errorbar(F1_binned_00_a, p_times_f_data_b_00_a, yerr=per_data_b_std_00_a, fmt='.r')\n",
    "plt.xlabel(\"log frequency\")\n",
    "plt.ylabel(\"log power*frequency\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data00_c = pd.read_csv(\"2_10_tb50(00).csv\")  \n",
    "data00_c['RATE'] = data00_c['RATE'].interpolate()\n",
    "\n",
    "\n",
    "dt=50\n",
    "counts_data = data00_c['RATE']\n",
    "N=len(counts_data)\n",
    "pnum = np.arange(len(counts_data))\n",
    "t = [i*dt for i in pnum]\n",
    "\n",
    "\n",
    "nf = N/2\n",
    "df = 1/(dt*N)\n",
    "F_c = np.arange(1,nf+1)\n",
    "F = [i*df for i in F_c]\n",
    "F1 = F[0:int(nf)]\n",
    "mean_x = np.mean(counts_data)\n",
    "dft = fft(counts_data)\n",
    "dft1= dft[1:int(nf)+1]\n",
    "per_data = (abs(dft1)**2)*2*dt/((mean_x**2)*N)\n",
    "p_times_f_data = np.multiply(np.array(F1),np.array(per_data))\n",
    "\n",
    "F1_log = [math.log(i,10) for i in F1]\n",
    "ptf_data_log = [math.log(i,10) for i in p_times_f_data]\n",
    "\n",
    "# 数据分bin\n",
    "F1_binned_00_c = databin_are(F1,F1)\n",
    "per_data_binned_00_c = databin_are(per_data,F1)\n",
    "per_data_b_std_00_c = databin_are_std(per_data,F1)\n",
    "p_times_f_data_b_00_c = np.array(F1_binned_00_c)+np.array(per_data_binned_00_c)\n",
    "\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(F1_log, ptf_data_log, color=\"b\", alpha=0.3, linewidth=1)\n",
    "plt.scatter(F1_binned_00_c, p_times_f_data_b_00_c, color=\"r\", linewidth=1) \n",
    "plt.errorbar(F1_binned_00_c, p_times_f_data_b_00_c, yerr=per_data_b_std_00_c, fmt='.r')\n",
    "plt.xlabel(\"log frequency\")\n",
    "plt.ylabel(\"log power*frequency\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data06_a = pd.read_csv(\"03_1_tb50(06).csv\")  \n",
    "data06_a['RATE'] = data06_a['RATE'].interpolate()\n",
    "\n",
    "\n",
    "dt=50\n",
    "counts_data = data06_a['RATE']\n",
    "N=len(counts_data)\n",
    "pnum = np.arange(len(counts_data))\n",
    "t = [i*dt for i in pnum]\n",
    "\n",
    "\n",
    "nf = N/2\n",
    "df = 1/(dt*N)\n",
    "F_a = np.arange(1,nf+1)\n",
    "F = [i*df for i in F_a]\n",
    "F1 = F[0:int(nf)]\n",
    "mean_x = np.mean(counts_data)\n",
    "dft = fft(counts_data)\n",
    "dft1= dft[1:int(nf)+1]\n",
    "per_data = (abs(dft1)**2)*2*dt/((mean_x**2)*N)\n",
    "p_times_f_data = np.multiply(np.array(F1),np.array(per_data))\n",
    "\n",
    "F1_log = [math.log(i,10) for i in F1]\n",
    "ptf_data_log = [math.log(i,10) for i in p_times_f_data]\n",
    "\n",
    "# 数据分bin\n",
    "F1_binned_06_a = databin_are(F1,F1)\n",
    "per_data_binned_06_a = databin_are(per_data,F1)\n",
    "per_data_b_std_06_a = databin_are_std(per_data,F1)\n",
    "p_times_f_data_b_06_a = np.array(F1_binned_06_a)+np.array(per_data_binned_06_a)\n",
    "\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(F1_log, ptf_data_log, color=\"b\", alpha=0.3, linewidth=1)\n",
    "plt.scatter(F1_binned_06_a, p_times_f_data_b_06_a, color=\"r\", linewidth=1) \n",
    "plt.errorbar(F1_binned_06_a, p_times_f_data_b_06_a, yerr=per_data_b_std_06_a, fmt='.r')\n",
    "plt.xlabel(\"log frequency\")\n",
    "plt.ylabel(\"log power*frequency\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data06_c = pd.read_csv(\"2_10_tb50(06).csv\")  \n",
    "data06_c['RATE'] = data06_c['RATE'].interpolate()\n",
    "\n",
    "\n",
    "dt=50\n",
    "counts_data = data06_c['RATE']\n",
    "N=len(counts_data)\n",
    "pnum = np.arange(len(counts_data))\n",
    "t = [i*dt for i in pnum]\n",
    "\n",
    "\n",
    "nf = N/2\n",
    "df = 1/(dt*N)\n",
    "F_c = np.arange(1,nf+1)\n",
    "F = [i*df for i in F_c]\n",
    "F1 = F[0:int(nf)]\n",
    "mean_x = np.mean(counts_data)\n",
    "dft = fft(counts_data)\n",
    "dft1= dft[1:int(nf)+1]\n",
    "per_data = (abs(dft1)**2)*2*dt/((mean_x**2)*N)\n",
    "p_times_f_data = np.multiply(np.array(F1),np.array(per_data))\n",
    "\n",
    "F1_log = [math.log(i,10) for i in F1]\n",
    "ptf_data_log = [math.log(i,10) for i in p_times_f_data]\n",
    "\n",
    "# 数据分bin\n",
    "F1_binned_06_c = databin_are(F1,F1)\n",
    "per_data_binned_06_c = databin_are(per_data,F1)\n",
    "per_data_b_std_06_c = databin_are_std(per_data,F1)\n",
    "p_times_f_data_b_06_c = np.array(F1_binned_06_c)+np.array(per_data_binned_06_c)\n",
    "\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(F1_log, ptf_data_log, color=\"b\", alpha=0.3, linewidth=1)\n",
    "plt.scatter(F1_binned_06_c, p_times_f_data_b_06_c, color=\"r\", linewidth=1) \n",
    "plt.errorbar(F1_binned_06_c, p_times_f_data_b_06_c, yerr=per_data_b_std_06_c, fmt='.r')\n",
    "plt.xlabel(\"log frequency\")\n",
    "plt.ylabel(\"log power*frequency\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data091_a = pd.read_csv(\"03_1_tb50(091).csv\")  \n",
    "data091_a['RATE'] = data091_a['RATE'].interpolate()\n",
    "\n",
    "\n",
    "dt=50\n",
    "counts_data = data091_a['RATE']\n",
    "N=len(counts_data)\n",
    "pnum = np.arange(len(counts_data))\n",
    "t = [i*dt for i in pnum]\n",
    "\n",
    "\n",
    "nf = N/2\n",
    "df = 1/(dt*N)\n",
    "F_a = np.arange(1,nf+1)\n",
    "F = [i*df for i in F_a]\n",
    "F1 = F[0:int(nf)]\n",
    "mean_x = np.mean(counts_data)\n",
    "dft = fft(counts_data)\n",
    "dft1= dft[1:int(nf)+1]\n",
    "per_data = (abs(dft1)**2)*2*dt/((mean_x**2)*N)\n",
    "p_times_f_data = np.multiply(np.array(F1),np.array(per_data))\n",
    "\n",
    "F1_log = [math.log(i,10) for i in F1]\n",
    "ptf_data_log = [math.log(i,10) for i in p_times_f_data]\n",
    "\n",
    "# 数据分bin\n",
    "F1_binned_091_a = databin_are(F1,F1)\n",
    "per_data_binned_091_a = databin_are(per_data,F1)\n",
    "per_data_b_std_091_a = databin_are_std(per_data,F1)\n",
    "p_times_f_data_b_091_a = np.array(F1_binned_091_a)+np.array(per_data_binned_091_a)\n",
    "\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(F1_log, ptf_data_log, color=\"b\", alpha=0.3, linewidth=1)\n",
    "plt.scatter(F1_binned_091_a, p_times_f_data_b_091_a, color=\"r\", linewidth=1) \n",
    "plt.errorbar(F1_binned_091_a, p_times_f_data_b_091_a, yerr=per_data_b_std_091_a, fmt='.r')\n",
    "plt.xlabel(\"log frequency\")\n",
    "plt.ylabel(\"log power*frequency\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data091_c = pd.read_csv(\"2_10_tb50(091).csv\")  \n",
    "data091_c['RATE'] = data091_c['RATE'].interpolate()\n",
    "\n",
    "\n",
    "dt=50\n",
    "counts_data = data091_c['RATE']\n",
    "N=len(counts_data)\n",
    "pnum = np.arange(len(counts_data))\n",
    "t = [i*dt for i in pnum]\n",
    "\n",
    "\n",
    "nf = N/2\n",
    "df = 1/(dt*N)\n",
    "F_c = np.arange(1,nf+1)\n",
    "F = [i*df for i in F_c]\n",
    "F1 = F[0:int(nf)]\n",
    "mean_x = np.mean(counts_data)\n",
    "dft = fft(counts_data)\n",
    "dft1= dft[1:int(nf)+1]\n",
    "per_data = (abs(dft1)**2)*2*dt/((mean_x**2)*N)\n",
    "p_times_f_data = np.multiply(np.array(F1),np.array(per_data))\n",
    "\n",
    "F1_log = [math.log(i,10) for i in F1]\n",
    "ptf_data_log = [math.log(i,10) for i in p_times_f_data]\n",
    "\n",
    "# 数据分bin\n",
    "F1_binned_091_c = databin_are(F1,F1)\n",
    "per_data_binned_091_c = databin_are(per_data,F1)\n",
    "per_data_b_std_091_c = databin_are_std(per_data,F1)\n",
    "p_times_f_data_b_091_c = np.array(F1_binned_091_c)+np.array(per_data_binned_091_c)\n",
    "\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(F1_log, ptf_data_log, color=\"b\", alpha=0.3, linewidth=1)\n",
    "plt.scatter(F1_binned_091_c, p_times_f_data_b_091_c, color=\"r\", linewidth=1) \n",
    "plt.errorbar(F1_binned_091_c, p_times_f_data_b_091_c, yerr=per_data_b_std_091_c, fmt='.r')\n",
    "plt.xlabel(\"log frequency\")\n",
    "plt.ylabel(\"log power*frequency\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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gVLISFKoY41y05VHn2D1woH1CblMBf5DYwxyn3zpUChIvJMY8mJtrjZwcGck6mvTImxgL6owBwNVX0xRJBEHkE90ZW1oSHe8lNiEUt3j02p5fn7EkBF4U4hpgkBUkxixUq2Lk5PbtwmlZSeSlbmxxUbwPYYTwJZeI9fMiKgmCICR+acq4G67GIYJqvL3ALG9iLAx5iofEmAHOhSO2bp2Y93ClMToqhEzW3ezDpCgljLVqxwiCIPKEXnvMuZswiLuA3wu1zMPUciJPQqYbIDFmQHYlvu66bOPICsZEajBrVylsilJy+eWiga06PxpBEISkKIIiqTi9tquOMv32t4OtG2Z/USnKe2mDxJjGoUPA1BTw9ren3504T+QhVRlVjJXLwNat5I4RBJENTz/d2YT63Ll4nDHORfbi9Olg68VF3sRY0SExpjA7KyZKLdTIyf37W0NvtmwRf8dA1s5YoxGs2auNLVvExcprCg6CIPJFo5G/PlZhOHYM+N73Wn/PzQHf/Kb5i75LMb2+zKuvitrmsEQRR3kTY2EK+PMkDkmMKYyMALffLpqGFoL9+4F77hFDcQDg8GHxdwyCbHxciKGshi+fPy/ej56eaNvp7QU2bWofNk4QRL45cwY4eDD5/SR9M9YdsFpN/NZbW/jFEXW+y7yIjiTjqPPgciZPpguJMY2BgawjCMDevWLmcpX5efF8RHp6sp00PGqKUuXKK8U31KwHJBAE4Ua93p19rOQUQkZn7MN3A7t3i8dxtLbYvbu5PcDsoKUt0vIiCiV5auKeo1CIwNhmxI5ppuws68ZcJwd3YWBAtLp44414tkcQRPLk7cYdFJOgtImxsM5YkHPkUluWNEV/T5OExFiR2bQp2PMBybJuLE5nDBBtLg4dCmdlEwSRLkmOHvzc55LfDwA89VTr8ZkzYmCYl9vnUvMUpgP/Sh6IViTozlRk7rsPGBpqf25oSDwfA1l14l9YEBca/dCiMDwMrFkDHF7cEN9GfVhcpG+CRHfxzDPpfabzMgIwLGoFyeOPizShZ5rSsYB/aipYHHmqJaProR0SY0Vmzx5g3z6gv1/8vXmz+HvPnlg2Pzgo2kPMzcWyOWfCTA7uwrZtwOuLl6LB0/mq+PTTYs45gugWjh1Lp5bLtdVDmO1mBectMWZ6zfS3aX5ddQLxotGNdYBxEXGsWjgYY38K4AMAKgBeA/BLnPOMSsULzp49wKc/LR5PTsa+eemOpTnCNErnfS9WrwaGSws4vrQWV8S/+Q4WFoBTp2LLGhNE5qQpZpIUY5xnk74LmqaU7T1k3OfP21OV8njUOS7V5437JGcsN2TljH0VwPWc8xsBvAzgIxnFQfiQRd1Y3PViKtsGj+O1xcsSvyhwLsTY9HRrODtBFBlbr6sk95XUdtM4FtO2pTOmCyrXAv6DB4Hjx72XPXfOPZtx6JDbcnGR2PmenAReegl4/jng7rsTMSaSJhMxxjn/Cudc3qIOALg8izgIf9KuG6vXxfRFUZu92ljXdx4lNBIfWVSpiPYgExPmVANBFI0iuigzM63p7by2mcYXJs7tzhjn3gX8Bw60HssG1l7nR61X6/oC/slJ4P77MV47g214FeNTLwH33184QZaHmrEPA/iS7UXG2D2MsScZY09OBa1cJCIzNpbupOHnzol9Jtn/Zdvg8cS/ES4siJq7jRtFqtITrR8QQeSZIhXwHzoEvP565zb1bT/0kBhlGXWfnAOvvBJy3Ygd5NX0pCrekiQXQu+BBzBeOYVb8Rh24EXciscwXjkFPPBA1pEFIrFbHmPsIcbYc4afH1OW2QugBsDaMp5zvo9zvpNzvnPdunVJhUtYYEy4VGn1G0syRSmZ6L3YNgluEqhi7MwZKlwlik+an+G0JsaWf+u1WWFRz5HXtk6ciLYfE7b2kkkKplyIsakprME0GBooAWBoYA2mgw87zZjECvg553d4vc4Y+xCAfwngX3BOZX15RqYqN6TQFeLsWeDyhJPWA6UK6nVxAU5qOgwpxvr7gdFR4M03gfXrk9kXQaRB2jVj/NfvBVY9FyndZBNfhw4BV10VerOR0UdEetWNvfhi+9+5EEB5Yt06TE+dBUcJDTTAUcI01gAFM28ySVMyxn4IwP8O4IOc83m/5YlsSbNuLKmRlDrDw8m27JBiDHBMVRIEkThS8Hz/+/4TkR8/Dnzta9H35fecH7a0p2v7jyRLPnIhDO+6CzN9G/EYbsVLuAaP4VbM9G0E7ror68gCkVXN2P0ARgF8lTH2DGPsUxnFQTiQ1qThc3Oir1ka84NmIcbI/yWKTOrOWIgaKpftShoNu3MGiCyXPvVvkO2b2k54racer9c5DiqA+vqCLR+EXIix3buBe+/FTM96vIptmFm3A7j33sLV4WbSZ4xzvi2L/RLh6OkR4uX8+WTrudKoF5OMjKQnxoaHxQUxLdePIJIg7brHpJu+hp0Psom82VvSqKbzZRoIJXueuYrPpSWnxZr094sR6kmQCzEGiPfiy18Wjz/xiUxDCUseRlMSBSCNVGVSnfdNDA2lJ8YAMVE5pSqJbqBIzpiX82Xrhm9bN+j+TOvbWuqEPacu6/XEYbl0QR+vvENijHAiDTGWpnOUpDPWaIh6FDlLFUB1Y0TxSb3PWAppSq/X42hzIZEOkmc3fMPx5qK0waOPV26csS6AxBjhxMREsu0tajUhjsbGktuHSpI1Y4uLou5NvVCtWiUu/kWeV45Y2aRZM5YUujPmMjl32O0HWV9d1vUakdr74NHHK3T/SXLaOiAxRjgxOCjERVICZmZGCJYkR/6o9Pe3HKy4WVgwD0KgVCVRZNLq/SWfSyJNqbphfs5Y3PsG3OaJfPjh4HVhiRJ3H68u6ZgfNyTGCGeSTFVmUdyeVN2YXi8moVQlUTRU5yMJZ2x+Hnj00fi250fYmjHXY/ZLg9rEWJI1Y5FZtw7TWLPcxwvR+3h1Scf8uCExRjiTpBhLs3hfklTd2MKCEHo6ExPitaDD5QkiC6rVdrMiiRt/rWaeF9K1h5YfXgX8ptYWtmUffBB44YVg+wtaM/ZmdRVOLK3x30naxN3HK4GO+d1Qu0ZijHBmfDyZujHOxZyUaYuxpOrGbGlKxsQsBuSOEUWg0WgXSkk4Y7ZtpdVnzOt1tUFsrSauUWH3JfFzxp6a3R5sJ2kQdx+vuJ02kBgjVhhjY0JoxF1nNTsr+nCpow/TIEkxZkpTAlQ3RhQHzt3nWoyyj9QK0XfvBv9gc2pk5zTla6+1P3/kSPgvpXGKBr9z99TFq/Hi/KZ4rje7dwM7dgDXXQ/89V9Ha6jaJR3z44bEGOFMqZTMpOFpNntVyUKMrVsnRks1a3H27wcOHBBVu1u2iL8JIgfoN3vdGUtaRCXijCnbNDlj1aq/SJuetjdRtZ0Tuc2gNWNRzvHxpbV4Zf4y5+WHh8PvKxAJdMwnZ4xYcYyPx183lkW9GJCNGCuVgLVrl92x/fuBe+5pDZ06fFj8TYKMyAFSCEjRogqDxUXgoYfi24fp+aTFmEl0TU4C3/62OTbOhRA7c8Y+G0HUdhhxbE+lh/koy6yI02kDiTFiBZJEEX9W0wQl0d5Cbqu3175MM1W5d29nNf/8vHieIDLG5oRxDpw4YZ7aJ+w+gr4Wdvt+zlij0aoNM+1/elocd9ipoeJ0xlxSvDVedgus4JAYI1Yc4+PiYhXXPHXVqviWPToaz/aCErc75uWKSdavFxf12uHj5gWOHIkvoBhZWACefDLrKIi08HLGjh+P7xpg6zMWNw3O8PTF1rTIJmesrGgXr7i8xNPQkHk0NRBcNDz7bLDlVyokxogVR2+vEDBxdZKfmRF1aKn8Mxnqs7IQY729QtROXXazeYFNm+ILKEbOnwdOnozHESG8ycNMDTYxJkc/B6FeN4sfT+cn5qavS43eNqfIJCZNo6BV5DpeQpQx+/Uszj5jZ88KUUyQGCNWKHHWjZ09m1KK0lKfNfz1z6UuxgCRqjz5q3/Y+RV6aAi47774AooReZ7efDPbOLqdRgN45JGso/BOU0rB4ScipGh5443OUYnqNiWzs0KIJlEzpt+wTf3N+vrE78VF8+teYuzRR4M5WRs2uC+bd9KaOcUGiTFiRRJn3VhqIykt9VnDf/5HsYqxxUU3MbZhA3Bm54+g8al9rZ4emzcD+/YBe/bEF1CMzM4KV5TEWLLIZqRxpQHD4uWMAf5ijPNWkX+t5nY8J08m4/bU68CrC+0jC01iS4qKr37V7E56pSnPnhX/G67CQP0eVuT5PoHWMY+MhFt/9er4YikqPVkHQBSPiQnRCDEqqTZ7tdRhDR9/GYdjFGPz86ImzI+BAXHhmn77Hqx756fFkzmfm21uTmR3Dx3KOpLuRhVBWToOXmJM3nybIkKOhlM+w5wLI1oKS5NIMY1YlMcdZ5ry7FngjYWNba+ZBu54CUZVIPsJS5d0ZJxuTm9vMvPsBsV0TOWyf7uQqOeCnDFiRTI0JD78Uaf1uXBBiBKvkYexYanDGt60JhNnDBBzVZ48Gd++k2ZuTsRcrYp0LBGMc+fczpu80fvdwJLG5oi5OmN6w1i57PnzwNNPdz6v/520W2QSL65pV325gwdbj4MKgzy6YnfeGWx5r2NO4wsFiTFixRJH3ViqLS3uu89Yn9X/Rx+Ntb2FbSokE5dcApw+nc+LsU69Lgr3BwdFnzRKVQbn0CHRo8oP3ZHKGpszViq5iTHpKMllFxdFyttrvTT+J4I6Y+rr+nK6WxzEGavVoh9vHIJHjdn1GpYXSIwRK5Y46sZSbfa6Z4+oxzLUZ8U1opLzYM7Y8LBwBc/VQhZapMjcXMsRJTEWDtc6MHljzoszposx1ymSdDGmriPrtUxpyqboi7GA3xRnGDHmIpRdhYFcLswXwRtuCLdPL+Ko28pKFJEYI1YscYix1Ju97tkDvPOdwLvfLb7KLhfKxyXGlpaEuAryLXXjRuBUJYOOtwGZm2sV5/qKsd27A3fUbjRanc+7FVcx5lqXlDRe0x95jaaU6VhVjKkiS52A3FYzFtdoSi+xGCVNGWfNWLVq3q9X7enYmPf+w5D1iMgokBgjVixjY6JmLGx6b2lJrJvafGgexCXGXNtaqFxyCXCysib6zhNmbq71Xg0Pi4ufV6opKEtLohFu1gIkaYrkjPkV8NvEmEzHqq+pqUdVjKnbtf2dFKbz6/X+1Ov2mjGVoMLAJsa2bnXfRl6EFDlj4aHRlEQo1EnDXUYP6siWFnn4JxoeBqamom8njBhbtQpooIRTlQn0vCkuzKafWg245ppkvhG7MDfXnsZYt06cs7BD2XVk+7dqtZVJ7jaCpimzFqY2MSb/tokxeZy6MyZpNFpCyJamjLvPmCnOcrmzvQXnwHXXCTGpXxPm5lrXK9t749d/zfT80pL5/8hLYOnXzayuowMDojSDiE5O9DRRRKKkKlNr9urA8HD0kaFAODEGAFsGTuGl+Svw8svAsWPi3CwuiovxyIgQu6WSW/F3UqjOGBB/3ZgqxrqVoGnKvDhjQZu+6n3S9AJ++bhet6cp1f3ZMJ3Lw4eBBx/sPAYTJrHTaIgvHab/49FR73krgZYoCiKOymXzrBZFEGO33OK/TDmF6THDHH8acQWBnDEiNBMT5q7aLszMADt2xBtPWIaH40m5LSzY56TzYtvgcWwbPA7cZl+G83jcu7DoYmzNGjGcX+05FQV5M/IVY4Z+VkWhW5wxv9YW0tnyqhkDzE1X9WW9+MIXgJtuau9ac/Soe2G+6XNr64cGtN+8/Qr4XZwxuZ/BQfOXwSD/Vx3LTk4CL70E1KrA3XcDd93lW8cZ5v9YzljgJUIZEynXN94Ivn1XwsS+JmfVIeSMEaEJO2l4oyF6DeWl63J/v7hIRnVlwjpjLoyNZTdfYa0mzo063H1gQPycPx/PPsgZa5E3ZyxozZhMUXrVjAGtlg76NlxGa8ovT3rfNtvn0eTgm5wnzsXzNlFhitFEEHHQ12f+3Id2xiYngfvvx3jtDLbhVYxPvQTcf3+mX2CSLq/wG5UvRWOeW3aQGCNC09srxEdQkXD+vHBZenLky8ZRxJ+kGBsZEfFl4ZbMz7faWqjEmar0E2NTU8WfFLmozljQNKXJGTMJLFN/Ld0ZM9WyHbUpAAAgAElEQVSNcd7SFXqqSXe25HZef70zTlua0mWS70YDeGX+MuPxewkx6/LSyXruoHCyJic9t+Mpxh54AOOVU7gVj2EHXsSteAzjlVPAAw/YNxgSF9GZxoAMPzF2003i9803Jx9LWEiMEZEIUzeWeksLB/IuxsplIYjiHMHoipyTUidOMVapmAuqJWfPxjcfalYUrc9Y2DSlqWZMFVjyuLzSlCpLS+3Lqi6bqe7H9eZvm55JCk0dVbxxDrw4vwmLjT7jNl1ESnPZLz/YdLKuUpys0mf/u9uB6ExNYQ2mwdBACQBDA2swnUqdQ9iShbhr3vRBZfJzkocBYzZIjBGRmJgQ4ioIqU0OHoCodWP1urhh9PX5LxuW0VHg4sXktm9DrxeTrFkj3ss4HJylJbEPUyEzIByzrMVJICy91orojMUhxlQB5eeMtS0LhldeEQNb1O1LdDEWpMWDbdkgacoK7+1YxstZMzpjn/ovipP1UtPJKv3hR62xezpj69ZhGmvAUUIDAEcJ01gjhkB7kNQXvbRalajYSmCyiMUVEmNEJMJMi5Rq531Hojpji4uiHiHJb15J1I2dO+d/gVIbvqr09orng4pxE3J4v80Zq1QKJsYMFLVmLO40pV4zZtsvIMSYXn+mnhebGLN9plf3zHYsq+OapgSAKg9fazEwANx2G4BTp4xOVunoYeu6nteZu+7CTN9GPIZb8RKuwWO4FTN9G0URvwfT06EOw5csBJDXPvXZC/ICiTEiEsPD4oPv2hpCdubOQ7NXlahiLFKKcnLSqbh2bCx+Z+w73/G/CNucMSC+VGWlIsSYrWascM6YgW5KUwYt4A8ymtJUX2YTY7qgajTEc7YO/0PlJd+Ulc3dUp+TMSw1zM6YbX09njVrALZxg9HJYpuuMAdooK3+dvdu4N57MdOzHq9iG2bW7QDuvTfwrBgu6Mdp+mLGebhR5lHi8Fpuy5ZEQwkNiTEiMkFSlXmsFwMyFmOOjI7G74xVKv79y5IWY5y30pReYizrtF1UgjpjLsvOzgKvvhotLtvE3EHSlHVealvPK03ZaAjxYBpNaWpt4TXa0hRzb6/dYWVobSyKMybFWKXh7oxZt/tvf83oZJU+9h+dt9XRKHn3btE76Lrrgb/+6w4h9q53OYcdC2vXArt2pbvPokFijIhMkCL+PNaLAdHbW6QhxoaGhHiKq/2DnN7FS4zVauLHNiR8YkKMjo3i4lSr4ubc358PZ2xhIZk2Ikk4Y3NzwMmT0eJ69lnzZ8AmwvQi93PngAMX3tK2nl+fMdnOwaVmTN33qVPtJvKLLwLPP9++H1WM6dsvMX8xZqsZU5eX703DcAv1qhsz1oz9yA8bnSy25+fMGzEQdNaKNGe5yFOdVp5i0SExRkQmSN1Ynjrv60Qp4k9DjDEWbxF/pSJE1tJSZ78miZcrBrRGeUZxFSsVcXPo7bWLsUrF7nbEzfHjostAEsRdwM959OlopOC24eeMXbgA1HireEsKKq+asdWr7fWKXs/pfcRmZ1ttKzgXgqmnxyBkl1tHsO9+B/ilX/RsHREkTam33gjTjoIx+DpZftsKWvYxONjZPT+petc0BFCeR0m6QmKMiMyqVeJm7HezrNeFkFi1Kp24ghIlVZmGGAPirRurVIRDIeeZNOEnxoDoI1GXlkQcXmLMyxm7cCGeid7VeOJqZqsSJE1ZKrk5YzLFG+WGZ2onIeOQr6u/ZS8uxsTj2VmgwVnberb0o3x9/XrhkpvmhlSX5WBtf3v1JpRxyRRoE6UJ6nqcxuozy01Q1XmTFFzSlKZaNr/1gy4fRNhlVYMr4yiVgCuvNC+TpwL+PIs2EmNEZEolIbD86sbOnxfOTt7mBJMUQYzFWTcmxdj69fZUpYsYkw1pvbDd8AEhJvr7xU3UJMZkbZFNyBw+DJw44b1/T7Q2FIuL4v20tdkIS5A0Zbnsvizn0WK1vTfSadLFlZ6mnJ1tT9f51YxxLj53Y2PimqGLNvW4v3J2Z9tnwkuMyXg7hKzSBHUjTuMdeALjlVPgn/or43Zc+ow1m7R+5wlREa4NwInjph9EjAVp6WHbRtSYr7vO/HxqYuwTnxA/Cvp0TXmGxBgRCy51Y3lOUQJuosJGms5YJDGmCA/VGXvzTfPNPy5n7PXX7ak/KcZszli16u0U1evx1pMtLYn9xe2OBXHGjKk2yzaB1gwGYeOyiTEpCr/6VXua0uaMeRXwl0ris2dzxlQaDVEr9rnPuTljpZIWq9IElaHVOoKfOm3cjm9hv+K0rcaM+DagTDfk6oyFmVTcRl62obNhg/hRSWMaPPkevv/9ye8rLkiMEbHgIsbyWrwvCVv7JMVCGtM7JZGm7O8Xx37uXOcycTlj58/b45ZxSFdDv0HLeTG9xFic9WSLi2L0V1ZijHPxWQpSXxalbszmXEgxVq22d8FXnbF6XbS10Z0xvWZM3YcUYzLNadqvLlrkZ8fLVZfOWMcxKU1QOVqtIxobLjFuR3XGVGHWFCuK07YWoi+MOt2QVwG/bX9Bnvd7LQx33JGMGNu1q7M2bceOzuX6+6OVr/iOLi0AJMaIWJiY8G8gmncxFtYZS8sVA1qiJWrRNtASQYA9VWmbCknFJb07O2tfRjpjgLktQdpibGlJnI+sxVgenLFSqZUCbRatK87YwsKycAzojKk1Z/o+Tc/p4mjt2s4vP1ZnTGmCOoV1OIB3YKZvI/g9v2I9J55iTHPaADSnG/JLySVVMxZGSAVex5AGjEvAqe/ZSoXEGBELvb3ihmlLoc3NiX/ctERLGKQwCVp/Mz9vb/2QBHF14q9WxfsGmMWYLJr3O7b+fnEj9Dpvc3P2xsC6GNNTldWqeG/K5fZ+VpI4xZhs95GlM2ZMU1qmV4rLGfNKU0qhp4oxKaZqNfGemWrGTC0xAHF85XJLjJkK/fXn9Jv+2BiwcWPrb/m+Scet7XiUJqhnMYFzy60j+J3vs54TkxhrPtacNgBO0w3Z9pGXFGNadVVp7Ed9/2+4oVUek2fBR2KMiA2vVGVem73qhElVLi6mKzLjKuKXLSUAUccxP9/usLikKCVNV3H/fuDAAeDhh0Vh8/79Tfekp8csGtQ4TGKsUhHPl0rJi7GlJSE+R0ZErHH1dJMklaZMsmZMngO9d5cUU+WytzOmj8pUnTHbKE6bGJPP673Ann1W9FvTt9vczu7dKF2zHaVbdgJ/8zfA7t1ON2ajM6Y5bQDaphsK3GcsDVcrYfIscrZsCTfAIW0KECJRFPzEWJ5TlJIwqco005RAfM6YFDmAuFitXdve4iKIGBseBuYe+EfgnntayuDwYeCeezD7X/8BIyP2dKZsbQHYnbHe3nScscVFIQwZi38u0CRqxmQD1ahp66BpSrVmrFn/xVmb4LLNselVM2ZrGaGLD712rFYTcerOmPx9xRXA+t6Ztg78XgLCM02pOG3TWANs3tycbsjk4vnht/zll0ffht86JgF5++3BtxkIQ9ozafImYlVIjBGx4SXG8jg5uIkw7S3SFmNxNX5Va8aAzlSlbYJwEyMjwOyffLIzFzk/j9n/9J8xMiJcR1Oq0iVN2RRj6KzgjtsZU93COFOVqlDxIuhoysHBZJ0xGYcuxmSspRJQQqM5qbdcxssZ8xNj+vyUplYOet+vWq3dGTt/vv24Soy3reMido1iDGg2aeU7dwGHDjVTyKpraMLFQSqXO0cB7tzZfo2Juy2FaRvqtQEANm3yXycKUdy1PIssV0iMEbExPCwucHo391pN3Njz2uxVpShibHY2+lyNuhiTzV/lRTGwM3bCrFxmT1ywOmPSQZEOnV/NmJoOk8TtjMkauVWrshFjQZwxQMSbZM2YxJSmrNeXi+YZR4ObxZhe+C8dN1dnzCTGdGes0dBcugbwzW+29s0YwEQL2Y59mZD7U+dTNKW69A78QZwxr5oxXQhdckmnk5U0eWksu1IgMUbEiskdO3dO3NiKkLcvghgrl8X+onad18XY4KBwhWSLi6BibHbDVcbXZjdus4oxNUUJeNeMlcvt0+5IknLGgoqxM2fcZiJwEWOqI+W3rcHBZFpbyHowiRQ7UnDIhrDSGWug1CambBOeWwvttWXU+HQh6+eMyUbB6ucijBgbGmpdt1wEUBhnzM/lCrOOF2FGbyZNFFesWyYgL8DtkSgSJjFWlHoxILgY47xV9J0mUeuZZJG03h5g/fpW3VhgZ+yuXwUfHGp/YWgIsx/6dWuaUhU/QPY1Y+p7OTIi4nUVRd/7nvek60HTlHohu22bPT1CMOjnbWHB7bNsc8aATjGmCyibM6bGrjtjeppSd8HkMqb45Lb060mjIT4Dcrvy8yB/yxjVicJd+gL6uVFRnDGv7XphamRahDSdX4xhBZneVNaVvJ0zEmNErJgmDc97532VoO0tFhdbvb/SJGrdmFq8ryLrxqpVcYNzbZ7Y2wv03PkeLH3y/26ttHkzqn/5aVRv/xcYGDALXd2dM02J5FUzJm/mMmUWFVnAD4j31NWhOnlSrOslCqXj5eKMyQa4LssyJs6hft6ee06UM/lhE2NSNEmk2NH7hHk5Y+oxeNWMLSyI82wTY6rI27BBfBnR67/UNKXpPRstz2Oo1LIQ3/lO4F3v8j8/EqMYCygg1OtK2NYWfX3J9BmzbeOaa7y3IT9/fvi5hkEJk7Y1Cf+8kELPcGIlsXp1a9Lwnh7xgZ+ZAW6+OevI3JGiweUCk3aKUjI2Bhw9Gn59XQRJJiaEyJuZCV4jMjwMzH7gX2PgM8tz/k1OYu4cMPJs64LNeXt/M90ZM4kKr5qxel08Lzv3R533VI/HVNdk4vXXgTVrvFthBBFjjLWW9es6b2oTMT8vphDautU/dteaMaBdQMhz09PTcsag1YyZBKWptcVDD7WPGvRzxkyx1uutkbCm9+HKwZNtf8tl/VDbaXS8hs4N2Fpb2IR6GMcoTVdnbMz79TvuiP/LaFyDlIoEOWNErOiThs/NiRtvkaanCJKqzFKMRXXGTGKsVBKi4tCh4GLM1BZkdrZ9RKZ+bnXxY3LG1JoxPU0pxVhPT7hU5fnzwFKjZRHqKWeXzuBnz4oYL788HjEmxYqLK2fqwQUAb7zREr9+uIgxebNVxZXa2kJ3xqRjKY9XnkdViOmC4sIFeypXHQxgcpR0Z0x+FvzqvYLWWkURHb5zXkYg6jairD8w4PbF1bQPNVWsfgbDph7DxJAXSIwRsTMx0RJjRWlpoVIEMTY01D5fYFBsYgwQqcrTp0M6Y1oBe1AxpteMySLsnh5zmlIVY2HSlK+8AhxZXN/clz6gwKvIXHLoEHDlleapnFRk+jFImtJVjOk3melp0aHeFruaLrMtI+MAWu+RPB9qnzG9ZqxcbnfG1MJ/dZu6iFxYcK8ZM8WqF/AD0Z1SFfk5a9svWMf5U98P+Vm65JLO/zdXgegiqMMU8LumKeM8hzqmUok4iPucpQGJsW5gclL85AS1bqwonfdVgoqxtIv3AXEhGRkJ746pqUKd9UKbxOKMXbzYLsb0In5dFOpiTKYem/VbMTtj9TowXVvVjEV2+pe4pClnZsQ50129qcoqvPlm6+8wzphrSlMXjXJWA9NN6eJF4PFdv9HWG8vPGZPvkenc6M6Y6oKpqVZVoMn1JXIAgp8YU593ccbiFBIbNgA33SQeu4qId7+79TiPoxhVbOdqbMw4ExeA/MTeDZAYI2JHOmOcd78ztrgoBEYWRBlRqU5BpDM0JATU6GiwbdqcMXU7QZ0xVTT6ibEwUxfVasBMdaTpiunnxC9NWa+3PgN67Geq45iebl8+iMAKUsBvEmMDA+bY6/V2h9FFjKnOmF7A7+qMyX3rqU+gs6GpLsbU2G3nQY3LK02pbi+ooySdsZ07gS0Dp3ydMZci8zhGGSYtioJeC7wgAWeGxBgRO3194kYwPS1uVH4FoHkjiBibn89u8vModWO20ZSS228XgzGCMDwsnEJZZN9oiPOjOmwuNWPqqLogYiyMM1ariUmuz9dH2hq+SvzSlNL5Y6wzTVnlPR2jt4KMpgxbMybXkQNobOt5/a3GC7ScMfV82GrG5DGqzpgUtaoYU5H/Q6ZUrk2M6c4YYHfG1GWvv178hEFuZ3AQWN0zazxvpq79XgJEfy3M5ziO0ZRxbjsMUUY3doPAIzFGJMLEhBhhtnp18f5RgrS3yCpNCUSbMNyrZgwIl94plcS5WGgIdSWFqnpzMqUp9dGLqrCSIyllTHHXjNXrwJreC5iujlmdMS/xpDp/ujtXaYQTY023KWDNmNyXfG9tQpLz9lGAXs6YXjOmNn1tc8nQ6YzV661+aSYxJrfNectxkvNL2loQeDljcpt+acotW1qjTIOMptRhzF4z5vfYtrzX/oIyXF7Ebaue991fkOfipmj3hiQhMUYkwvi4KAIvWopS4uKO1eut4fRZEDVN6TICKijDw8BsXdgcevE+IMRapdJyv/SCeaA93ac6eEk5Y+t7Z5pizOSMeYmnixdbYszLGVPFQtDWFn7L6t3oVTFmWj+IGDOlKfUC/lIJKLN2Z0wVY2oBvyrGTKlDVbjpr8nXbaMp5XNJ1Yzp+5Td/L3SlC7bck1Teok0o5gCx1i58yJ2ySX+sRHpQ2KMSARZtN/NYiyrkZQS2ScpzFQ4SYmxkRFgri4UjUmMMSbcMbUXnT7kX3WYXNKUPT3RxNiGvhmcrY21NXxV4/VLU0oxptZFAZ3OWJA6sDCjKV2dMaC9X5uXGOvpESk91c1S05SNBsA+/zmwg8+iceBxNN62E+WHvtwsqNd7pdnEmEStLzNhOx/ynJbL7SLUrxVFWGemmRr2ccaiPB8mHhduuEH81oVqXI5cWOT+BwdFe52Vhq8YY4wVbCwckQdGRsQ/VNFGUkqKIMaA8O6Ymv6Lk+FhbzEml5mfN7tiQHvj1yRrxqRTM1RaRB+rYmoqeAG/KsaAdldPd8ZcxVjU0ZQuaUqvv/Vtb93aXgjf1k5jchLso3+Akeo0RnAR5WNvoPzH96Hx9UkA3jVjJgGhd/3X47PVjMllenvbn/faV1QYuG/TV7WeL8kC/jDE0ag1zDb8jveOO1ojulcSLqfyccbYZxljP8IYZXgJd267Lbk+MklTJDEWpog/SWfMK00JtM6tqUYL8HHGPGrGvMTYuXPAk0+2PyfXZUzUjc3OBivgV0dSStRUZZX3dEwFFCRNGcQZU/chRa6XGGsol34vZ0xu2+aM4YEHMLT4Jq7C61iN85jAWYwunQEeeKC5josYU/fvJca8zgPQPlWQHAQRJ6Y05QsvtC/jKlDivJvaar689hFVjN16a/FqvrIa+e6Cy9uxHcA+AHcBeJUx9keMse3JhkUQ2VIUMRamiJ/zVoowboaHgbmGtxiTaUqbGNNrxtoK+EM6Y4uLnZOUyxQnIMQYEKyAXx1JKZFCssbLaHAW2hmTQiKKM2Zz9YLUjKnCBjA4Y1NTGMI82PIWGYAxXACbOtOWMvQSY35pPlv9mAm1T5yctcGLKGlKeS4OHza/pm9f35ff7AASr2OWo0LDHEdUMRb3lzkX0R1FTH3gAwUXY1zwVc75vwbwywA+BOAJxtjDjLFbE4+QIDKgKGIsTJqywns70jlxMTgophear/eDMfMFW6Ypbe5cW6pPccZKJbsYK5e9xVit1vm6KkjX9JwH4F8ztrAAPPaY2K+eopSx12pAtSFUgJ8YW1oCDhxo30YYZ8xWwO/S2sImxtRieXU6pLZ9rluHRQyI2ikIkTeHYbB1a9HT017kD/inKQH/Wiavwnf18zQ83Pr/jOuzrm/nVKWzDsN1X65izAvTlx1XTC04gM6JwU3xDQ9n07Loqqu8X497jsw0cakZW8MY+03G2JMAfgfAbwBYC+C3AfxdwvERRCa4tLfIgxgbHRWiMUhdSZX3JJKiBMSFe7i8iFOVCeuNwi9NaRNjUZyxer2zKawqDAbLFdxyS2daXR+RuLgIvPkm8NJLdjFWrQrBC3Q2GNXFWKUiUqgqap+xpGrGojpj8jHuuguVgdU4isvxJtbiNNZjYWAN2Id+weqM+YmQMGlKieqMbdoEbN/uva+wMNZKU5pec91GkOVdttX2XFMim7EJl6uv9o8rLtFTtDRnkric0scAjAH4cc75j3LO/5FzXuOcPwngU8mGRxDZ4eeO5UGMlcuizsm1SS0gRvklJcYAYLi0gNOVcasYGxwUosY0ehHwEGOf/W+ov/Ay8PDDolnU/v3N6ZL8xJifMwaIuRx1TG0WRkaAY8eAkyc7xZhMU1Z5T3N5+dskxur1zrii1owFFWMu27bWjO3ejdIn7kOldxTTWIOly7ah9NHfB3vve2KrGdNjkticMV1AehFUOLU95yHGXISWizO2erXbpNlB4pMkOedk2niltouCixjbwTn/OOf8mP4C5/xPEoiJIHKBixjLquGrStC6sQrvTVSMjZQXMF1bZZ1CRTaHPXcugBjbvx/le38NI9Xl+YUOHwbuuQf1z3/J2RmTXeElUsh5oTtjjYaI+YYbRKrVlqasNNzFmBQp6j6SHk0pxZhXDyvp0AEeNWMASj/54yi99SbUd74TjUe+hdIHfrTp7Mnzp/Ye86sZc3XGTAJETb8nkbJyEW+mZUzH4CLG3vUuNBvUxkVYRy6qwEmiRlWnyE6by8f1K4yx5sQojLFxxtiXE4yJIHKBaa5FSaXScmSyJmjdWKXRk+go1+HyYtNBsi4zLGJ2qRnr6wOwdy/KCxdwC5QhkfPzqH/yU87OmNyeRC3gt2Fyxkol0Tjz1ls7J1OXsVd5D3pLdScxpselpil1Z0ydTFvdrk2M2cScLsL8WmCozpg6BySwfFxogIO1vaanKeXx+tWMhSngVwVYkmJM3Z/NedKb8HptQ/399tGXA8Wwfn2rbitMmjKKcAmz7sSEaFthW7eIblacuHxc13HOm1UNnPMZAJG6gDDGPs4Ye5Yx9gxj7CuMsUujbI8gkkAWmpvIQ4pSMjrq2N5i/37gwAFUHn8KfT9yh/g7AUbKC+K3hxiTo5pszlitpo36PHIEZTTA0K4u6qemnJ0xoH0ZlxGlurukFrWvXdu5vExTVho96GPVDrGjizH5WI1Ln4hb5ZlngKmp1t+mAn4pYL2cMfk7rDMmH8vXSoyjzkvNdUxiTDpj8pz7FfCv7pk1xmZzxD7wgfbXVdeTMQCTk+InAkGdsSB1Vy6pY5V3vEP8/9x+u38ceUG/Zha54D5uXE5FnTG2Sf7BGNsM+CSj/flTzvmNnPObAXwewB9E3B5BxI6XM5YnMebkjO3fD9xzD7C0hFFcwNjJF8XfCQiy4fIieljd8/xIR8krTVmtojkiD5s2gQHgKLVdfOobLm2Opmw07N+updjRxZhfmtI0abXXDUR1xvpLVWdnTI1LFTT68VQqncuq6b5qtdW931eMgfmKMVsBv80ZU1+T51Yej1cBv3pepXC6+YW/x/jz3wTuvtsoovyctcSdMY/9uwgh/Tz4iTHbZ3vVKkscPs6YK6ZjuTQm+ySPgjErXD6uewF8izH2AGPsAQCPAPhIlJ1yztVbxzCiizuCiB2vmrE8ibHhYTEy0bMD/d69TZtvPaZwKU6Iv/fujT2e/ke+ijue+j88L7TDw+JCbEqXqmKs+fp99wFDQ/gObmk1LB0aQv2Xf6Up2LzaW5jSgVGdMRPSoavw3g5nLEiaUk89qsub6svksuox+c0eEESMWQv40XLGZF81eZzSGZPLyPhtacrmsl/6AnD//ShX5nA5jmF86iXg/vuByUmnVJZJjEW96Qct4Dc9DtKiIy6CDFBwTRNu2dIacRlln+qythG9KwmXPmMPAngbgP8O4P8F8HbOeeSaMcbYfYyxowD2wMMZY4zdwxh7kjH25JTqzxNEwshUj6m9RZ7EGGMiJeiZqjxypLU8lBuJ8nyc+NWkDQ/bJ1g3irE9e4B9+3Cxdw2q6AU2bwb27UP9vXc2b+5yUmoTtZq4OatizaVmTE8VOjtjjXKbMya35eKM6TVZ+nHox6iKMd1hitsZ6+gzJo8LrYnC5XNBxVhzH/f/BcYrpzCIRWzGYdyKxzBeOQU88EDHcZtIo4Dfq2bMVYzozpg6X2gcsE/eHzktG4Urr/RfhlpktHA9Ff0AzgI4D+AtjDFLlroFY+whxthzhp8fAwDO+V7O+RUA9gO417Ydzvk+zvlOzvnOdevWOYZLEPFgS1XmSYwBDnVjm5qVBu1VV8rzaTI6KqbLMiFH3nXMXblnD8rXbkf9B3cDhw4Be/a03dy96sbqdTGCU3fGXNKUQZyx5mhK3ou+Us23ZixOZ0xdFwhWM2bCNU1pcsZ0MSafU8+5LU1ZOnkcayBGzYovDg2swTTY1BlrvKY5KztqxkJy1VX+zUZVXAWGLsY29p0NFpgPcbuBq1ebl4tzHysZ37FgjLE/AfCvADyP1nWcQ6QrrXDO73CM4e8AfAHARx2XJ4jUkKlKfcLzvIkx3xkD7rtP1IjNz+MNbMVGnMLwEBPPZ4Q+ElGlp0dkUXWHrcwabY1fdTGmN3aV1GpCjIVxxkyjKW1IZ4zzHvSzSuw1Y7ozpgs33YnzEluqkxW0ZkxFukSy5kmvGZPre4kxdR+lSzdg+sTScoyiTnAaa8DWtY+YUNc3ibG4XJe3vMW8zzibvjIG9JVq6C9VsRQyTlfCCqC4vBDXNG4UipjydBmY/+MQvcZi+4wwxq7mnL+y/OcHAbwY17YJIk5sIidvYmxkBDhxwmOBPXvE77vvxqtLV+PyTT3AH3209XzO6O01i7ESvMWYlzM2MhJ8NKXeeNWlZqxaBXij3OGMmcSYHGkoRaS6fRdnTC/gD+SMaV34Tcupx3rzzcKtNDljfFmM6TVjMla5rJcz1tzev/9NzPze32Kx0o8z2ICjuAIzfRtR/tAvdAYJ4VqpsxiYxFgSE4b7pUn96BjIMDkJfAWIosbGx4WTX60Ww3VS5zvWiEsAACAASURBVBGNgyIcsw0XMfY6gF5E+oh08MeMsR0QX3wOA/jVGLdNELExMgKcOtX+XKMh6sjy0PBV4jKXJvbsAd/3aVTPvg19z34ZAUfSp4oUY3p7jDJroA5xZ5WjJ+UF3a9mLEya0lTA7+W4yBgaWgG/3JbJGevvb4lEXQC17Xs5DejnjKlizNRnrM0Nc3TGAOCKK4DXXmsXlnI/cnk9TSn3L59zqhn78Q8Cp8bA7/8aTlQuxcy6HcBdd4G9d3fH8QGiQ73JvZLb273b24UNgsvN3rSMn1MTl4jo729dB8IU0ru8FpfrJPv0cS7iPnmyc5kbbgAOHnSLs+i4iLF5AM8wxr4GRZBxzv9d2J1yzn8q7LoEkSZDQ50iZ3GxfdqVPCDFmH4D1anxMnpYPVexm+jtFcczPt7+vJqmlJ3dm6/5jKbUp40KW8Dvd+Mql8W3zB7m1vRVF2O2lGCNl5vr6PEEqRlrrgsWSIzZttlMqSoDAuR5kMcll1FbW6iiVk3NMgZg926wJ24BZrcBH/vL5jZd0GvGbDNBSNQmw5LxcXNDYnUfUdOUpuXj+L/M+/+2ZGKi8zOgcvvt4r1TxZgfo6PAzEw88aWNS1b9nwF8HMC3AXxX+SGIrmdkxCzGZNPSvNDTI24qi4vey8mWC3lHOmP6DVEVY6rLAninKWs1IXqCtrYwFfD71SL1PvI19L10EOzb3wL/mZ8F9u/3FGOqY+clptTjlvg5Y66jKU24CE/5m1nSlHpdlNdE4XIZmzjRj0d3yPyet/FDP9S57Pg48P73e68XRYytV9qmJyWe5HbvvDOZ7UdFP+6rrwa2bWv9vWqVe92fLsCLiK8zxjn/DGNsEMAmzvlLKcREELlBznW3tNRqxZC3ejGJdMe8Yqs0etDLvBqS5YPeXnHj7ijgRz2wGJPLyZGOkjBpSj+Bgv370ftnf4ux6hkMYAGjp18B7rkH/M/6wN7yM1ZnTM704FUz5ueMhaoZszhjLkJMTQdKYSLXW71afB4XFlrLSJyavsIusvzQ+6C54OciBonBJiDU7atunVf9WVBMQta1nGJkxP/LXBzYjlUVYisRX93JGPsAgGcAPLj8982MsX9OOjCCyAt6Pdb8fL7qxSQudWOy5ULekSLMNJpSNn3VxZQutiRyOf1117kpTQX3VvbuxfjSSdyIZ9GPCm7Es8D8PPjH/5NnmlJ1xmxpSlkr51rAb2v6ampt4SrGdKer+VgbTXnttUJwmJa3OWNtaUoDukiziTa/ydXjIKk0ZRwEdQYlO3cC73tfvLHkmbylc11MwP8IYBeAcwDAOX8GwNYEYyKIXKGLnMXF/DpjtumbJHLOxLwjRViQNKWtZkyKLr31RSLO2JEjGMdZlNBo9sgCAH7sOACzuFNbbvg5YzLVp8ajt8EIk6YM6oyp+1H3r6/nKsbU42jrnK8JHhf3Ksm2Bi438KAlDEk5Y0Eplfy/nCQdw0rG5dTXOOfnWfsZLmAXD4JAqI7Uet3YwkJ8PXfiZGQEOOvTN7IbnLGgaUrVGVPFWJgCfl9nbNMmzB/uX3aJODhKABrgl18RyhlTqfMS+vo6xZi6bNACfrkLfTlbCw8/Z8zUg0xd3muKIr1mTBdirrVhafWYqn/+S8A325/bvVu8n0FiCpp+deXyy92XLbqAGhnpHHldNFycsecYYz8HoMwYu5ox9n9BFPMTxIpAd8byXDPm54xVebGcMWPNmJKuc60Zk86YfL1ed3Mk9FSfr2N0332oDKzCYWxCFb14Cm8VVsnevZ5izNTawuSM9fd7O2MmZ8rkegEtZ8yUzgzqjKnbM61nGkHpVzMGtAsy12LuiQnREy0J1PdGfR+2bQPe+c5WLViQhrO6sA3L9u1iCiK5jY0bw29LjSUrsavjVRrS1we85z3ZxRYHLh+Z3wBwHURbi78HcAHAv08yKILIE0USYwsL3hekSqOnMM4YY53OVRRnTPYA41wZSbl/P3DgAPDww2IG5P3729YN7Izt2YNVf/wR9PWVUEcZ59fvAPbtA/+pn7aKsb4+8Zz8sYkxmzNmK+A3bUOuA7T6lgURYy7OmFea0ssZ02vGTDVZLqMpSyXREy1pJiZaReeDg+1ueRZO044dna1gTGTtgoUVnn4tSlSKKMpcRlPOA9i7/EMQKw5VjNVq4obp1YMoK0ol8e1xft7e5LLCewszmtLUlTuMGJPOGGOturJ6HeiZfAj4i3vEUFkAOHxYTBkFNGcmMNWM+bkem37zJ4B/+nMsNraB//5+4E6AnxGvSeEjRYs8Bhm7X5+x/n7gwoX2ePQCfhWvVKWXk2U7TlsNGAM3jmLU68q8nDE9TQm0CzJ5LLZ0ZZrIfa5dC7z6aufrYZ2xOMhabCVJXJ3684jL3JTfgKFGjHP+3kQiIoicoba3qFTy6YpJpHC0irGCOGMDA6LPkE4UZ0xdplYDev7m062eEpL5eWDv3qYYCzpRuIoqUPRRjrJhrfwt40rCGdOb48adpmzu36dmTB67/ppEF2y6M6ZPTZUn0RFFIObpOPLOpZcK9+/AAeFKnj+fdUTx4VLA/zvK4wEAPwUg/1dzgogRWcRfq+VfjM3OtjeVVClK09eBAVGDo6PXjKlpTD9nTF2mVgPKpy2TeR450nyopyldnLHmug5iTO2BJiYYt3clr/GypxjT9yPjt9aMcYQWYyZnzLb/5jK66+VQM1ZUbG6jbVlyxtwZHBT1YUA66ei0cElT6t32H2WMPZxQPASRS6Tj1GjkW4yNjHgX8RfFGbMR1RmToqdeB3o2rgVOdS6PTZuaD+NyxoBOMcZ5qwZNjd3qjKGMgd7W+jK2sDVjqjOmz+lpa/uhb7tNUHmkPUPVjBnEm0vNWB7QBbtXDVNfn+g+D+TzWIh0cGn6OqH8rGWMvR9AxHEaBFEspBjLa/G+xK/xa1FGU9qIUjOmLlOrAeVfu6ezKdTQEHDffc0/w9SMmdY1OWNq/FIk+vUZK5dbjpq63SBirHksinjSl/GbKkqv79KbvqrLqb/V98tWM2Y7v7bn4xAwYbdhWy/I9kolYOvWcPuPCz8XtCjk+drsh8tl5bsAnlz+/RiA3wZwd5JBEUTeKJIYszljtZq4aZZYAYcaLeMlxqSzondgtzpjH/hhYN++1jxXmzeLv5frxYDO7QV1xuS6JjGm1nKpBfxeNWM9PS0xpguvKM6Yjq0Hm75ttb7Lq+mrX5pSLqM+z0SE1uXzLBKyjC3P5yVpbrzRf07RvOKSpsxYsxNE9kgx1tOTz6mQJENDYqCBLlQAMfigyClKACihYe0zBrREjTra1eSMcb783J49wKc/LV40NAQ29RkLUjOmrufijPX2eo+mVJ0xm3BTb8a2ejD521YzZnPG9BSi7nz5NX31csb8pkMybV/fTlbYhGWc5KVdQ17iMCH/P4qIy2jKn/R6nXP+j/GFQxD5RIqxvr7g052kCWMivvn5zr48lQoKnaIEvJ0xoDXlkSrGTKMpOXe7aMfpjEmk+KnXWzdt19GUNmcsSAG/xGs0pUuasq9POBHyWP2avgauGbM4Y3muFZPEnfaMcxtJnrfRUfG5mZlJbh/distoyrsB3Abg68t/vwfAJIDzEC0vSIwRXY90LPI6SbiKFI5GMVZwZ0wVY6Yic9nYVUUVFtKBYsxtHr5IzpihJkpuU4opk0i0jSp0ccaCpilty7jO23nppcuPHWvG9HOnO3pezlgc9Vlxk8eYsuT228XvL3wh2ziKiIsY4wDewjk/CQCMsUsAfJJz/kuJRkYQOUP27sq7DW6rG6tWu8AZQ93XGdOL+PU05fy8uFm61P7pQiWIM6aub0pTqmKst7c1e0KHM7Y8S0B9iaHnxreg/OE/Q/2a9zvXjOk1dC59xlzSlG3Ph+jAr58ffcok09yUptGUeSSJNKUrYc5LXOcyy+MuOi5ibIsUYsucBrA9oXgIIrcMD3fe2PLIyAhw7lzn813jjHnUjMkO+yqm2qxSKVyaMogzJtfXa7mkYFRj6OsT709HmvJrXwfuF7MEXI6j6D16FOU/vg/19bPgv/xTRmdM37+NBmcoWcSYyyTqOi4F/CYxJjEW+XsU8Ps9nwQDA8Att/gvl6VQ3LVLfJaIYuFyWZlkjH2ZMfaLjLEPAfgCgG8kHBdB5I7h4XyPpJTYnLFKBYWYCskLORJUFsDrgsHkjKkuj3zdVWxE6TMGmEXSwIAYZKGOpuzvF8/paUr+Xz/TnCXgKryGPlQwtnQa9T/6E+c0pYszphPYGWPmDvzq6yYxpk5ybuoz1rGPHBSPmybgTmOk5003iR8/BgfNs1esJPLwOQmKy2jKexljPwFgORuMfZzzf0o2LILIHxs3AmNjWUfhj5wtQKdSAUYKnqYERKpSH40osaUpVWcsSgF/GGdMpiTlDbq/H1hcRLMYXz4nxVhb6vHMVPNxCaJmZAwXUD++ELqAXxdjYWrGwqQpgc5z94M/CHzrW+LxyAiwdat5fdO24izkj1s8BWn66opJBAahtxd43/uix1FEoVMEXI3opwBc5Jw/xBgbYoyNcs4vJhkYQeSNsbFiiLH+fmX+ReU/vBvSlMByqrLuLsb00ZRy2qG0nDGgXSQNDIjJvgcHWzdtKcY60pTr1wNnhAjjEIJsHkPouewSJ2fMa6qjKK0tOp63pBNVN8zkjI2MtGLp6RHT29iaFqfhPgXFFsPERKurfhzbi4MdO+Kp6crDefejCDHquHTg/zcA/gHAXy0/dRmA/5FkUARBhIcxcyf+bmhtAYQTY+poyiBpSlMBf1RnTKYpdceu0WjVkjX3fdeHgKEh1FHGqxB396WBcdR/638N3/T1819A6cXvgz/xBPitt4F96YvN9SUurS3a/vZwxlTB6HXuTDdQXeQl3WdMjg6NSk8PcM018WwrSVzq31R+4AeAt7zFf7nt20UP5azYutU8t22ecbms/DqAHwBwAQA4568AsExDTBBEHjDVja1EZ4zzzk731aq/2JDIkY/q9sLUjMnHQCtNqcYln19Y0Nyu3e8B9u1DtW8Eh7EZ2LwZ5Y99FPV/+WPhWlvs3w98/OOYqJ3GKpxD7/HXwT7+MbCHJ9t7mjl04DcdZ1gx5jJKMg1n7O1vj3+becF0vnp7g21jYqK9h5+NHTuE65kVPT3AunXZ7T8MLmJsiXPeHJvBGOsBYPh+QhBEXjDVjXVDawtA1IzpPbkkuhiTTpY+ktGljxYQjzMGdDpji4udYlKKtI4O/Hv2oL7rVvTceB1w6BDKP/6B8H3G9u7F4OI0bsF3MIEZbMAZDC9Ogf3tZ9riDuqMSUzOlXq+XM6dn+BzXT5N8hADUWxcLisPM8Z+F8AgY+xOAJ8F8LlkwyIIIgrd7IyVGEelYhZTuhjTRZd8XKmES1OGccZMBfyVSmdsUoyZCtNrvIwyazSPoV7vrC9T92mLH0eOYARzYGiAQaQBRzAHTE11pClN59fr2OWxBnXG9Bjb1vfowB8n113nln6Lgkvhe5KijgRjvnERY/8BwBSAgwB+BcAXAfxekkERBBENvWas2fH94a8b52AsEmXWsIoxWQgvsbW/0FOEXqipyjDOmN7aolQSMSwseKcp1fXrvNQhxuTrEqfWFps24SJGwFFaHhTAMIchsPVrI9WMAWhO/+QlxoKM0DS9bhJtcYiMTZuAq64Kvl6RBE7QWHt6gGuvTSYWohPP74aMsTKAz3DOfx7Ap9MJiSCIqOhpSn2+xiJTRt0qxgYHhaCR2KZMUgvl/VBFQNiaMX29gQHRPmxiovWcdMxMYoyDNV0imzPmlKa87z7M/fJf4pnFEVyBo6iiF4sDE2Af+pCTGLMKoMlJsC+a9+81mlKi7ruvr1XLJI9ZTTUXkby2g/CLa9u2dOIgfJwxznkdwDrGWJdcxgliZSCFl+zEXal0kRjzcMakGJM3GZOo6O0NNqWV6i6F7cCvi5T+fiGWdWcMMPeo4rzV8DbS3JR79oDv/T3M9q7BWazB4qXbwP7wo2DvfU+b4HTtw6Yfq5czZjo2E6US8EM/1LltWwF/HkRaHmIoCnSuzLj0GTsE4FHG2D8DaH7X5pz/n0kFRRBEdGTd2MTEyhFj5bIQW0tLwn2yjbgMMtWPFDRBe4yp68rHkoEBYGrKLMZcnTFb01cVUw8x/PAPg/3Dl9DovRT87z8DVgXYkXYBaxNifgJI7/Y/PNwaoTgyYp7BQh6jMfWp7C+N0ZTdDJ2vfONySTqx/FMCMJpsOARBxIWsG5NiLOgw9rxSZg0sWMQYAAwNiRSgFGMmZyyIGJOCJqgrBrQ7Vuq6AwPLx1LufE5dLogYMzljgLnpa4m19wVrGyzg2PbDdqy6mJRT80SpP5Ixmo4vS5ER976pgH/lYv2XY4w9wDm/C8A5zvmfpxgTQRAxoNaNdY0zNjmJ8gtA5axdMEgxNjFhrxkLk6aM4ozpgsgkvKI4Y0CwDvwlNNrmkmSsNQrVS4x5OWOMibjC3PRttUvymN/5TmB62jsmgigyXt/z3s4Y2wzgw4yxccbYhPqTVoAEQYRDbW/RNWIMQozY0pSAEGOyiD9PzpheMwa0H4N8f0xirMFZ83lVjOk9yVw68APLzpi2/NGjwEsvmVO7puOyHWsS4ki6ay7NYQkzdL7yjdcl6VMAHgRwJcTclCp8+XmCIHKK7owNDWUbT1z4ibHBQeDcOfHY5oylXTNmGk0JtMfW2yvElS1NWUJ7awuTMHGaDklzxuRIRTlNlFf7Dq/jtwm/OPDbb94xuaNEMLr9/Fm/53HO/4Jzfi2A/4dzvlX7ISFGEDlH1oxxvvKcsfl58diUcguappR9xqI4Y/KxxCTGAOGY6WIKaE9T9vQEG02pF9Vzjo65JGWKMawDqB9zUKwF/B6TveRJhOUpFhtFiHEl4/kvxxj7Oc75rzHG/pe0AiIIIh6kA7S01GV9xsrtv3X0NKW+3MgIMBpgKFISzpgpTQkIkWZ0xpT1y2V0TAcVJE1pK+Cv1Vq1cX7OmN/IxyC4Omq27VIB/8qg28+Nn1l/GWPsZwFcnkYwBEHEi6wb6zZnTP2to/Yaq9U607MbN4ofV6S7pKcQXVDrzfTC+rGxzhGuo6Pt75OpgF86dSbHS66jr98RFxpo8E5nzNQrzEScYsxzP+DW0ZPdfnOOGzpf+cZ6aWGMfRTABIC/AzDBGPuD1KIiCCIWZN1YV7W2WBZhtrqvUkkImqUlcwF/UKSgCuOMAfZ6oXe/uzO2m24C1qxp/d105VBqijHGWu5YFGdMXQZoOWNeaUqX2q00b/okMLofmdJfyTVjfwjgLICfB3CWc/6x1KIiCCIWZN3YSnLGAOGOzc97NzB1xdYrzAWbMxYEvQM/0BJjugAK0tqigVKHM+bawsPLGQuLbZt5TE/q5CkWG0WI0cTNNyez3bydD79LywnO+X8DcDyNYAiCiJeREeDCBXGj7TZnzEtkySL+uJyxOPqMhbn4m9KUgFmMBa4ZU5bXxViazliUm2LWN9Ss9+/KW94CrF2bdRTRiPtc581p87tM/T1j7DnO+fWpREMQRKwMD4s2D93iigHuYmxhIXtnDDDXcgXetybGenrEoAyTGDOtr6O2tpBirFoV23U5zjRrxoLEUHSSOqarrkpmu0R8+E0U3gDwPcbYppTiIQgiRoaGumskJRAsTRmHMyaL2sM4Y1HTlM2aMe7tjAHBnDHGYGxt4XecLoIrrKBw3aep9UcRyJsTUzS6/fy5XKYuAfA8Y+wJtE8U/sHEoiIIIhbKZSFMuiVFCbg7YydPxuOMJdGBP/D6YG3rSzEm31e/NOXFiyJlLf+2TYckByqEcQBXsjPmF4urkEj7mLpd4HiRp88P4CbG/jDxKAiCSIyRkeiCJE8ErRmLI00p3aIoNWNh96134AdaYkyfQsnW9PWxx4Crrwa2brXXjElXzGU0ZZwF/EWuGYubbjsewh1fMcY5f3h5jsqrOecPMcaGAHTRpZ0gupvh4c6eVEXGNU25sCBubnG1tsjaGVPFWE8PsLjoXsBfrQIvvwxccsnyMWk1Y5Kw6Vi5r7jFhKnPmLq/rIlbgEaZ+aDbycP7nSS+bz1j7N8A+AcAf7X81GUA/keSQREEER/r1rX3rio68oblJcZkr7G4nLG4O/AHWR/oXL9cthfw62KsXheP164FpqbsHfiB6M5Y2jfMbrtBd9vxxEm3p1RdvjP+OoBdAB4HAM75K4yx9YlGRRBEbATpNl8UymV/x2twsF2whEVNU8Y1N2XQ9UXT11rzeVsBv76fUkk0v+3tbY2UVGvG5PKq6ItaMxaWoAX83ShcuvGYCDdc/uWWOOcV+QdjrAfwqKokCIJImI0b/QclDA3FUysXpQN/rAX8IfuMydkXpKgERPpPnw4JiD6aMvY0pc/2uk28UJpy5eLy1j/MGPtdAIOMsTsBfBbA55INiyAIws7b3uYvtIaGoteLAS0RE7ZmTK4bdt9ROvCrYkw2r/VKU7o6Y3lIU+ZJiBV1NGWR6PZz43Jp+Q8ApgAcBPArAL4I4PeSDIogCCIqg4P5cMaA+J0xmXIM6ozpaUpTAb9XrF7HEFaMedaheRTw+8WTBmH2f/XVwBVXmF8jZ8wO1YwBuwHs55x/OuFYCIIgYmNoKJ7+amoBf6Z9xrQ0pXxdYuvAX622O2OAubUF4D8dkrpd03NJiiN921kLsbBcc439taIeExEdFzH2iwA+xRibBvDN5Z9vcc5nkgyMIAgiCmvXih5rUZGpxlIpnDPm5zb5rW/rwC9fV5czOWOAcNK8nDE5OMFPdKbtUnk5Y/39wHXXxb/PLCExtnJx6TP2CwDAGLsUwE8D+CSAS13WJQiCyArGRKoyKi4ipYPJSRHDi+3xhMHWgV/dpp8Y6+trrxljDB0d+Mtl0QajVsunM6bvmzHgssuS358LcR03ibGVi6+gYoz9PIB3AbgBwJsA7odwxwiCILqePDhjppox+br628sZk2LN5oyVy+K1ej3d0ZRpj9CMkyCxudQ8Uc3YysXF3frPAF4D8CkA3+CcH0o0IoIgiBwRtWYsltGUhumQ5OsSL2est1c4Xl41Y6WS+KnXw/cZi721RZd0UaLRlIQfvv9ynPO1AD4MYADAfYyxJxhjDyQeGUEQRA5Qp0PKos8YYO7Ar75u248UVbbRlOo2ymWxvN5M1hRPHgr4u5GVcIzk/plxmQ5pDMAmAJsBbAGwClC+ohEEQXQx0t3KcjSl6MAfvoDfpc+YTMNGccbiJq06tLywEoTK8DDw7ndnHUX+cElTfkv5uZ9zfizZkAiCIFJkudjehnTGgGycMa/WFvLmbRJg6mMpxpqxoFOMSWfMS4wl4Yz51YzZls8TccV06aXA/Hw828ozY2NZR5A/XEZT3ggAjLFR0DRIBEGsMKQzJt2joOvGMTelFFAS08wCfs6YGksJjY7pkMpl8dsrTekXaxI1Y3kUX5K4Y1u1Cnj72+Pdphfd3ki1SLikKa9njD0N4DkA32eMfZcxdn3yoREEQWSP6ihFSVOGoa2An3k7Yy59xvQ0pRSZrgX8WdaMEUQ343Jp2QfgtzjnmznnmwD89vJzBEEQXY9aM5aXNKWenvRrbaGnKaUzVq2KxrhqmjJsB36v58OSd2fMFXKgwtMN778LLmJsmHP+DfkH53wSwHBiEREEQeSItlGIAZ2xKCMx2/atiTE1rag+12h0ri9Flvq6XG/79tYxSWdMfd0Uj1esUfBbv+g3ZRJkhBcuBfyvM8Z+H4BsZ/HzAN5ILiSCIIj8EFVQxTKakrOO9W1iTH9Ozs+pO2Pbh441J6zWxV0ROvDniTzGRBQLl+95HwawDsA/Avin5ce/lGRQBEEQeaGt1irlAn7A3PQV6BRjQKcY6+8Xc3TK/asNaHcMHW1zwqSDBoSfmzLKaErjazlPU+Y5NqJYuIymnAHw7xhjqwA0OOcX49o5Y+x3APwpgHWc8zfj2i5BEERcRHHGkkpTAq2ifHVZkxh761vbYwHQsS0ppFzbTCThjJGwIVYyLqMpb2GMHQTwPQAHGWPfY4xFHnzLGLsCwJ0AjkTdFkEQRFJEqRkDYhJjhvVNaUqv/ajOmL5MUGcstQL+AAKRIIqMS83YXwP4t5zzbwIAY+wHAfwNgBsj7vvPAPxvAP5nxO0QBEEkhqnw3RXVGQu77yDOmFeMcqSkiXXrxOsXL7aWDRNrrExOAscAvBrzdjNiYED0cCMIEy5i7KIUYgDAOf8WYyxSqpIx9kEAxznn32M+/8GMsXsA3AMAmzZtirJbgiCIwKjpvbxMhwQAN9wADA2Z17Fty9aeQ9aVHTrkvw2vWGOvGcu5GxbEtbvtNrsYJggXMfYEY+yvAPw9RAf+fwVgkjH2NgDgnD9lWokx9hCAjYaX9gL4XQDvcwmQc74Py33Ndu7cSYODCYJIlSjOWBxiTG3UqjIy0rmsV4yyoatXHH5pSn1f+nNJiKe8CzJX5KhWIh/k7XPlIsZuXv79Ue352yDE2XtNK3HO7zA9zxi7AcBWANIVuxzAU4yxXZzzUy5BEwRBpEUcHfjl46A0m7ka0pS2Zb1e93NmXPuMZVHAX+TaMeoxRvjhMpryPXHukHN+EMB6+Tdj7BCAnTSakiCIPBLF3VLXjbTvAGLMr2bMJdUYd7oxLGn1LiOIrHFxxgiCIFYscfQZS6K1hW15r9f8xJjs1B9mP3kScWlT1GMgxy4/ZC7GOOdbso6BIAjCRpReYbEV8Bs68JuW9RNazXknJyety/gJTjlJuS2GOCmqyCGIoIQYwEwQBLFykI6SywTapnWjiDHA3oHftC8/Z6xe994XY/7H+N73mpdJqmYsz4Isz7F1C319WUeQDr7OGGPsJw1PnwdwkHN+Jv6QCIIg8kMczph8HJSmmPvEH4P9qP+yLiMl/ZbxE2MDA/b9x40tHVok1qwBxsezjqK4jI1lHUE6uKQp7wZwK4BvLP+9uoEvTQAAEq9JREFUG8ABANsZYx/jnD9gW5EgCKLoNFOFIZ0xW9f7IPt2Wd/FGVN/m3CtGQuzf7+4/F4vmgiT3HZb1hEQRcBFjDUAXMs5Pw0AjLENAP4LgHcAeAQAiTGCILqWKIJKdcai7DsOIeLijLmkKb3WLapgIoiscfm32yKF2DJnAGznnJ8FUE0mLIIgiHwg05RRnLEobpPr+q7OmBdZOGNy3bi3mQZFd+2I/ODijH2TMfZ5AJ9d/vunATzCGBsGcC6xyAiCIHJAVGcsT2LMpa6MnDGCSB8XMfbrAH4SwA8CYAA+A+D/45xzALE2hCUIgsgbat1WkZ0xl2WipCnl+nHSDQX8BOGCSwd+zhj7FoAKxPRHTywLMYIgiK5HpinDFqfnSYz5Ca0oacqBAftIyyhQKpBIgiQ+q1Hw/Q7EGPtZAE9ApCd/FsDjjLGfTjowgiCIvBDWMZKuWhQxVq+77zuOxrBhnbENG4Brrgm+nldMeRdgJBSLyfvfD1x7bdZRtOOSptwL4BbZU4wxtg7AQwD+IcnACIIg8kKUtg1hCv/19eN0xpJMUyYBCR0ibv7/9u49VrarrgP499fbVmpLoQ8ehSLlKWAqBS4ErRAepTaENxgkoBiDKAmCGgSxRokNCfIIiTE8CjbRqBhIrZhSKeUdDAUujz6A8hBLKIgUMGgxUoHlHzMNp+WcO3POmTlr730+n+TkzuzZe89vVveZ8+1aa+89xAvJLvNrd8QtLu76rSW3A5iEnfYYDW2YctHrRx+dHHXU8vWt2zHHuGDqOplwNBzL9Iy9s6ouTfKW+fOnJ7lkfSUBDMtuesZ2M0yZ7G3P2EknJSeeuL361um443409KmHjClbZgL/71fVU5OcmdnZlOe31i5ae2UAA7GbnrGN/+5k+708m/KmdfbSdoPuEEPZEGtiXJbpGUtr7cIkF665FoBBWtetfpbZ/oc/XN3Q4W7OlgTWZ8swVlX/ndmlLH7spcyueLFPbt8J7He7OZty47872X4v54yxPdqTVdkyjLXWbr2XhQAM1U57lIYWxoZ2piQws9QwJcB+pmdsfdxGiUVOOy05+eTeVayXMAawQO+esWWC4LI9Y2O9nMGQL7A6xJqWMZae0tNP713B+o3kPwVAPz17xraz/Rh7xsZs7O15u9slD3947ypIhDGAhXZzFuJuhuG2E8ZWdWmLHoZY035QldzmNr2rIBHGABbazW2CdhM0Vh3GXNoChkkYA1hgt71besaAwxHGABbY6RX4k9UEoGXfe4yXttjufLghhckh1cK4DfBXE2BY9IxxONqU3RLGABbo1TO23TC2yFDnjA2xJthLwhjAArsJVLsZGlxHzxgwPMIYwAK7OZvypu13s92qrjM2xJ6xVX02GDNhDGCB3YSY3V6j7KZ9LLPuGMPYdg2x/iHWxLgIYwAL7PY6Y0OawD9EQ61rkbHWzfAIYwALTOVsyin0jMEUCWMAC4zlbMoxXtpiaPVAD8IYwAKrCFS72XaVE/iHaOyBbOz1099AfzUBhqP3Ffin3DO2rCHWPcSaGKcjexcAMHTHHpscOLCzbVfRq+Zsyh8Ze/2wGWEMYIG73nXn25ozBiximBJgjYZ0O6QDB4Y3b0w4BD1jAGs1pAn8p56anHLKzutZl1WFTRgrYQxgjYY0TLmbExGA9RHGANZot/O0lr36/x3vmLS28/cZCz1kTJEwBrBGqwhjy2x//PE7f4/eBCz2Ox3WAGu0V2FsrKb82WBZwhjAGgljq6ENmDJhDGCNVnH1fUEEpk0YA1ijVYSpqZ8BuZ32EUyZoon/igP0ZZjy8Kb82WBZwhjAGgljwCLCGMAaCWPAIsIYwBoJY4u5HRL7nTAGsEarOJty6hP4Yb/zKw6wRnrGDm/Knw2WJYwBrNERRwhjq6QtmCJhDGDNhLHDM2eM/U4YA1ijI49MDhzY+fb7IYzBfndk7wIApuye93QF/sMRNEEYA1ir3fSKJcmd7pQcc8xqahkqt0NivxPGAAbsXvfqXQGwbhPu/AZgKvSIMWXCGABAR8IYAN3o8QJhDIDOxj6B/+ije1fA2JnAD8DgDTGEJcnjH9+7AqZAzxgAQEfCGABAR13CWFW9rKq+WlWfmv88tkcdAPTldk/Qd87Ya1trr+74/gAA3RmmBADoqGcYe35VXVlVF1TVCR3rAKCjZYYpb1rHkCZTtLYwVlXvrqqrN/l5YpLXJ7lHkjOS/HuS1xxmP8+tqkNVdej6669fV7kAdCBcwRrnjLXWzlpmvap6U5KLD7Of85OcnyQHDx5sq6kOAGAYep1NecqGp09OcnWPOgAAeut1NuUrq+qMJC3JtUl+s1MdAHS2nTljMEVdwlhr7Vd6vC8Aw7LdkCWUMUUubQEA0JEwBgDQkTAGQFeGHtnvhDEABk9gY8qEMQC6MYEfhDEAgK6EMQC60tvFfieMAQB0JIwBAHQkjAHQTZXbIYEwBsBoCGVMkTAGANCRMAYA0JEwBkA3yw47Gp5kyoQxALoStNjvhDEARkNwY4qEMQCAjoQxALpZ9jpjMGXCGACDJ7AxZcIYAEBHwhgAo6GHjCkSxgDoSsBivxPGAAA6EsYA6MYV+EEYAwDoShgDAOhIGAOgK0OQ7HfCGADdbDeICW5MkTAGwOAJYUyZMAZAV4IW+50wBgDQkTAGQDfmjIEwBsAICGFMmTAGQFeCFvudMAYA0JEwBgDQkTAGwGgY0mSKhDEAuqkSsEAYA2DwBDamTBgDAOhIGAMA6EgYA6Cb7c4ZM1zJFAljAAAdCWMADJ4eMaZMGAOgK0GL/U4YA6AbQQyEMQCAroQxAAZPDxpTJowBMBpCGVMkjAHQlYDFfieMAQB0JIwB0I1eMRDGAOhMIGO/E8YAGLybApvgxhQd2bsAAPav449PjjqqdxXQlzAGQDcnndS7AujPMCUAQEfCGACDZ64YUyaMATAaQhlTJIwBAHQkjAEAdCSMAQB0JIwBAHQkjAEwCibvM1XdwlhV/XZVfa6qPl1Vr+xVBwDjIZAxRV2uwF9Vj0zyxCQ/21r7XlXdvkcdAAC99eoZe16SV7TWvpckrbVvdKoDAKCrXmHs3kkeVlUfqaoPVNWDt1qxqp5bVYeq6tD111+/hyUCAKzf2oYpq+rdSe64yUvnzt/3hCQPTfLgJG+tqru31totV26tnZ/k/CQ5ePDgj70OwP5gvhhTtbYw1lo7a6vXqup5Sf5hHr4+WlU/THJyEl1fAGxJIGOKeg1T/mOSRyVJVd07ydFJvtmpFgCAbrqcTZnkgiQXVNXVSW5M8uzNhigBAKauSxhrrd2Y5Fk93hsAYEhcgR8AoCNhDIBRqDKBn2kSxgAAOhLGAAA6EsYAADoSxgAYBfPFmCphDACgI2EMgNHQO8YUCWMAAB0JYwAAHQljAIyCIUqmShgDAOhIGANgNPSOMUXCGABAR8IYAEBHwhgAo3D66clRR/WuAlbvyN4FAMAy7nzn3hXAeugZAwDoSBgDAOhIGAMA6EgYAwDoSBgDAOhIGAMA6EgYAwDoSBgDAOhIGAMA6EgYAwDoSBgDAOhIGAMA6EgYAwDoSBgDAOhIGAMA6EgYAwDoSBgDAOhIGAMA6Khaa71rWFpVXZ/kywtWOznJN/egnP1I266X9l0fbbs+2nZ9tO167UX73rW1drtFK40qjC2jqg611g72rmOKtO16ad/10bbro23XR9uu15Da1zAlAEBHwhgAQEdTDGPn9y5gwrTtemnf9dG266Nt10fbrtdg2ndyc8YAAMZkij1jAACjIYwBAHQ0+jBWVS+rqq9W1afmP4/dYr1zqupzVfXFqvqDva5zzKrqRVXVqurkLV7/wYb2/6e9rm/slmjfZ1fVF+Y/z97r+saoqs6rqivnx+S7qupOW6zn2N2mbbSt43abqupVVXXNvH0vqqrbbrHetVV11fy/waG9rnOsttG+e54XRj9nrKpeluSG1tqrD7POgSSfT/KYJNcl+ViSZ7TWPrMnRY5YVd0lyZuT3CfJg1prP3aBvKq6obV23J4XNwGL2reqTkxyKMnBJC3Jx+fr/ede1zomVXV8a+2/5o9fkOR+rbXf2mQ9x+42LdO2jtudqaqzk7y3tfb9qvqzJGmtvWST9a5NcnCz72O2tkz79soLo+8ZW9JDknyxtfal1tqNSf4+yRM71zQWr03y4sy+UFm9Re37i0kua619e/6H7LIk5+xVcWN1U1iYOzaO35VZsm0dtzvQWntXa+3786eXJzm1Zz1Ts2T7dskLUwljz593O15QVSds8vqdk3xlw/Pr5ss4jKp6QpKvttauWLDqrarqUFVdXlVP2ovapmDJ9nXs7lBVvbyqvpLkmUn+eIvVHLs7sETbOm5379eT/PMWr7Uk76qqj1fVc/ewpinZqn27HLtHrvsNVqGq3p3kjpu8dG6S1yc5L7OD87wkr8mskW+2i0229X/KWdi2f5jk7CV281Otta9V1d2TvLeqrmqt/esq6xyrFbSvY3cLh2vb1trbW2vnJjm3ql6a5PlJ/mSTdR27m1hB2zput7CobefrnJvk+0n+dovdnDk/bm+f5LKquqa19sH1VDwuK2jfLsfuKMJYa+2sZdarqjcluXiTl65LcpcNz09N8rUVlDZ6W7VtVZ2e5G5JrqiqZNZmn6iqh7TWvn6LfXxt/u+Xqur9SR6QZN//QUtW0r7XJXnEhuenJnn/WoodmWW/F5L8XZJ3ZJMw5tjd3Ara1nG7hUVtOz/Z4XFJHt22mNS94bj9RlVdlNnQmjCWlbRvl7ww+mHKqjplw9MnJ7l6k9U+luReVXW3qjo6yS8ncebUYbTWrmqt3b61dlpr7bTMDtAH3jKIVdUJVfUT88cnJzkziRMjFli2fZNcmuTseTufkFlP2qV7XO7oVNW9Njx9QpJrNlnHsbsDy7RtHLc7UlXnJHlJkie01v5ni3WOrapb3/Q4s7bd7O8et7BM+6ZTXhh9GEvyyvkpvlcmeWSS302SqrpTVV2SJPMJe8/P7Mvgs0ne2lr7dK+Cx66qDlbVm+dP75vkUFVdkeR9SV7hLNXd2di+rbVvZzb8/rH5z5/Ol3F4r6iqq+ffC2cneWHi2F2RhW3ruN2xv0hy68yGHj9VVW9Ibv73LMkdknxoftx+NMk7Wmvv7FPu6Cxs3155YfSXtgAAGLMp9IwBAIyWMAYA0JEwBgDQkTAGANCRMAYA0JEwBnRVVTesaD/3mZ+u/smquscq9gmwF4QxYCqelOTtrbUHbLylUc34rgMGyxcUMAjz0PSq+QVFr6qqp8+XH1FVr6uqT1fVxVV1SVU97RbbPjbJ7yR5TlW9r6pOq6rPVtXrknwiyV2q6uyq+nBVfaKq3lZVx823PaeqrqmqD1XVn1fVxfPlL6uqF214j6ur6rT542dV1UfnPXFvrKoD8+U31Owm2lfU7Objd5gvv0NVXTRffkVV/XxVnVdVL9yw/5dX1QvW18LAUAljwFA8JckZSe6f5Kwkr5rf7uwpSU5LcnqS5yT5uVtu2Fq7JMkbkry2tfbI+eKfTvLXrbUHJPlukj9KclZr7YFJDiX5vaq6VZI3JXl8kodl8xsM30xV3TfJ0zO7WfMZSX6Q5Jnzl49Ncnlr7f6Z3SvwN+bL/zzJB+bLH5jk00n+Msmz5/s8IrPbrmx1Y2hgwkZxo3BgX/iFJG9prf0gyX9U1QeSPHi+/G2ttR8m+XpVvW/J/X25tXb5/PFDk9wvyb/Mb8x+dJIPJ7lPkn9rrX0hSarqb5I8d8F+H53kQUk+Nt/XMUm+MX/txiQXzx9/PMlj5o8fleRXk2T++b6T5DtV9a2qekBmt7j5ZGvtW0t+NmBChDFgKGqbyxf57i32cVlr7Rk323HVGUm2uifc93Pz0YNbbdjXX7XWXrrJNv/XfnSPuR9k8Xfsm5P8WmY9chcsWBeYKMOUwFB8MMnTq+pAVd0uycMzuxHyh5I8dT537A5JHrGDfV+e5MyqumeSVNVPVtW9k1yT5G4bzr7cGNauzWxIMVX1wCR3my9/T5KnVdXt56+dWFV3XfD+70nyvPn6B6rq+Pnyi5Kck1kP4KU7+FzABAhjwFBclOTKJFckeW+SF7fWvp7kwiTXJbk6yRuTfCSzYb6ltdauz6wH6i1VdWVm4ew+rbX/zWxY8h1V9aEkX96w2YVJTqyqT2UWpD4/39dnMpt/9q75vi5LcsqCEl6Y5JFVdVVmw5c/M9/XjUnel+St8+FLYB+qH/WoAwxTVR3XWruhqk7KrLfszHlQW/X7PCLJi1prj1v1vrd4vyMyO9vzl26atwbsP+aMAWNwcVXdNrOJ9+etI4jttaq6X2aT/S8SxGB/0zMGANCROWMAAB0JYwAAHQljAAAdCWMAAB0JYwAAHf0/K+g7oKViGFAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data092_a = pd.read_csv(\"03_1_tb50(092).csv\")  \n",
    "data092_a['RATE'] = data092_a['RATE'].interpolate()\n",
    "\n",
    "\n",
    "dt=50\n",
    "counts_data = data092_a['RATE']\n",
    "N=len(counts_data)\n",
    "pnum = np.arange(len(counts_data))\n",
    "t = [i*dt for i in pnum]\n",
    "\n",
    "\n",
    "nf = N/2\n",
    "df = 1/(dt*N)\n",
    "F_a = np.arange(1,nf+1)\n",
    "F = [i*df for i in F_a]\n",
    "F1 = F[0:int(nf)]\n",
    "mean_x = np.mean(counts_data)\n",
    "dft = fft(counts_data)\n",
    "dft1= dft[1:int(nf)+1]\n",
    "per_data = (abs(dft1)**2)*2*dt/((mean_x**2)*N)\n",
    "p_times_f_data = np.multiply(np.array(F1),np.array(per_data))\n",
    "\n",
    "F1_log = [math.log(i,10) for i in F1]\n",
    "ptf_data_log = [math.log(i,10) for i in p_times_f_data]\n",
    "\n",
    "# 数据分bin\n",
    "F1_binned_092_a = databin_are(F1,F1)\n",
    "per_data_binned_092_a = databin_are(per_data,F1)\n",
    "per_data_b_std_092_a = databin_are_std(per_data,F1)\n",
    "p_times_f_data_b_092_a = np.array(F1_binned_092_a)+np.array(per_data_binned_092_a)\n",
    "\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(F1_log, ptf_data_log, color=\"b\", alpha=0.3, linewidth=1)\n",
    "plt.scatter(F1_binned_092_a, p_times_f_data_b_092_a, color=\"r\", linewidth=1) \n",
    "plt.errorbar(F1_binned_092_a, p_times_f_data_b_092_a, yerr=per_data_b_std_092_a, fmt='.r')\n",
    "plt.xlabel(\"log frequency\")\n",
    "plt.ylabel(\"log power*frequency\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data092_c = pd.read_csv(\"2_10_tb50(092).csv\")  \n",
    "data092_c['RATE'] = data092_c['RATE'].interpolate()\n",
    "\n",
    "\n",
    "dt=50\n",
    "counts_data = data092_c['RATE']\n",
    "N=len(counts_data)\n",
    "pnum = np.arange(len(counts_data))\n",
    "t = [i*dt for i in pnum]\n",
    "\n",
    "\n",
    "nf = N/2\n",
    "df = 1/(dt*N)\n",
    "F_c = np.arange(1,nf+1)\n",
    "F = [i*df for i in F_c]\n",
    "F1 = F[0:int(nf)]\n",
    "mean_x = np.mean(counts_data)\n",
    "dft = fft(counts_data)\n",
    "dft1= dft[1:int(nf)+1]\n",
    "per_data = (abs(dft1)**2)*2*dt/((mean_x**2)*N)\n",
    "p_times_f_data = np.multiply(np.array(F1),np.array(per_data))\n",
    "\n",
    "F1_log = [math.log(i,10) for i in F1]\n",
    "ptf_data_log = [math.log(i,10) for i in p_times_f_data]\n",
    "\n",
    "# 数据分bin\n",
    "F1_binned_092_c = databin_are(F1,F1)\n",
    "per_data_binned_092_c = databin_are(per_data,F1)\n",
    "per_data_b_std_092_c = databin_are_std(per_data,F1)\n",
    "p_times_f_data_b_092_c = np.array(F1_binned_092_c)+np.array(per_data_binned_092_c)\n",
    "\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(F1_log, ptf_data_log, color=\"b\", alpha=0.3, linewidth=1)\n",
    "plt.scatter(F1_binned_092_c, p_times_f_data_b_092_c, color=\"r\", linewidth=1) \n",
    "plt.errorbar(F1_binned_092_c, p_times_f_data_b_092_c, yerr=per_data_b_std_092_c, fmt='.r')\n",
    "plt.xlabel(\"log frequency\")\n",
    "plt.ylabel(\"log power*frequency\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,8))\n",
    "plt.errorbar(F1_binned_00_a, p_times_f_data_b_00_a, yerr=per_data_b_std_00_a, fmt='o', label='2000')\n",
    "plt.errorbar(F1_binned_06_a, p_times_f_data_b_06_a, yerr=per_data_b_std_06_a, fmt='^', label='2006')\n",
    "plt.errorbar(F1_binned_091_a, p_times_f_data_b_091_a, yerr=per_data_b_std_091_a, fmt='s',label='2009(1)')\n",
    "plt.errorbar(F1_binned_092_a, p_times_f_data_b_092_a, yerr=per_data_b_std_092_a, fmt='*',label='2009(2)')\n",
    "plt.xlabel(\"log frequency\")\n",
    "plt.ylabel(\"log power*frequency\")\n",
    "plt.title(\"0.3-1 keV\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,8))\n",
    "plt.errorbar(F1_binned_00_c, p_times_f_data_b_00_c, yerr=per_data_b_std_00_c, fmt='o', label='2000')\n",
    "plt.errorbar(F1_binned_06_c, p_times_f_data_b_06_c, yerr=per_data_b_std_06_c, fmt='^', label='2006')\n",
    "plt.errorbar(F1_binned_091_c, p_times_f_data_b_091_c, yerr=per_data_b_std_091_c, fmt='s',label='2009(1)')\n",
    "plt.errorbar(F1_binned_092_c, p_times_f_data_b_092_c, yerr=per_data_b_std_092_c, fmt='*',label='2009(2)')\n",
    "plt.xlabel(\"log frequency\")\n",
    "plt.ylabel(\"log power*frequency\")\n",
    "plt.title(\"2-10 keV\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,8))\n",
    "plt.errorbar(F1_binned_00_a, per_data_binned_00_a, yerr=per_data_b_std_00_a, fmt='o', label='2000')\n",
    "plt.errorbar(F1_binned_06_a, per_data_binned_06_a, yerr=per_data_b_std_06_a, fmt='^', label='2006')\n",
    "plt.errorbar(F1_binned_091_a, per_data_binned_091_a, yerr=per_data_b_std_091_a, fmt='s',label='2009(1)')\n",
    "plt.errorbar(F1_binned_092_a, per_data_binned_092_a, yerr=per_data_b_std_092_a, fmt='*',label='2009(2)')\n",
    "plt.xlabel(\"log frequency\")\n",
    "plt.ylabel(\"log power\")\n",
    "plt.title(\"0.3-1 keV\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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BioqKNHr0aEnSgw8+qDvvvFPXXHONnn32WQ0aNEjPP/+8JOmKK67Q0qVLNWTIEHXr1q1hqobjx4/ry1/+siQpNzdXP/vZzxq6ESdNmqTXX39dl156qSTp9ttv189//nN9+umnGjBggL75zW/qvvvua6jn3nvvjct7a8ya6/+My47NsiX9SVJXRULdr5xzrb6DcePGuTVr1nipJ1G2Xj9dknT6gvkBVwIAQMvKyspUWFgYdBneHT16VOPHj9fKlSuVmZnZ4vNKS0v1+OOPa8GCBc1+v7nzZWbvOOfGtVWDz27EKklfcc6NkjRa0uVmdoHH4wEAAJwgJydH999/vyoqKlp93r59+/TAAw94qcFbN6KLNJkdiT7sEv3w04wGAADQgokTJ7b5nOLiYm/H9zpmy8wyJb0jaYikuc65t3wer6MuWXRJs7Pg9snu09BPDQAA0BFe70Z0ztU650ZLGiDp78zspCH+Znajma0xszV79+71WU6LfC1DAAAAkJCpH5xzlZJel3R5M997xjk3zjk3LtZJxwAAQOJtvX56w41giJ23sGVmeWbWO/p1jqRLJcV/WlYAAIAk5rNlq0DSa2a2XtLbkpY7537v8XgAAMAjV12tY2VlqonTsJ/t27dr/PjxKiws1PDhw/Xkk09Kkj7++GMVFxdr6NChKi4u1oEDByLHd0633nqrhgwZopEjR2rt2rUN+7rjjjs0YsQIjRgxQosWLTrhOFdffbU+/PBDffrpp5o0aZKGDRum4cOH684772x4zpw5cxrm7Yo3b2HLObfeOTfGOTfSOTfCOfefvo4FAAD8q96xQ3VHjmjv3B/FZX9ZWVl67LHHVFZWplWrVmnu3LnauHGjZs+erQkTJmjz5s2aMGGCZs+eLUlatmyZNm/erM2bN+uZZ57RLbfcIkl68cUXtXbtWq1bt05vvfWWHnnkER06dEiS9N5776m2tlZnnnmmJOm73/2uNm3apNLSUq1cuVLLli2TJH3jG9/QD3/4w7i8r6ZYrkf+liEAACAVbBo1WmXDClUbbdGqXLhQZcMKtWnU6E7tt6CgQGPHjpUk9ezZU4WFhaqoqNCSJUs0Y8YMSdKMGTO0ePFiSdKSJUs0ffp0mZkuuOACVVZWaufOndq4caMuvvhiZWVlqXv37ho1apReeuklSdJzzz3XsNxPt27dNH78eEnSKaecorFjx6q8vLzhe4MHD9bq1as79Z6aQ9hSZBmCDTM2nPTBtA8AAEhnLX9FuZMnSRmR2GDZ2cq9crKG/GF53I6xZcsWlZaW6vzzz9fu3btVUFAgKRLI9uzZI0mqqKjQwIEDG14zYMAAVVRUaNSoUVq2bJk+/fRT7du3T6+99lrDgtUrV67Uueeee9LxKisr9bvf/U4TJkxo2DZu3Di98cYbcXtP9VgbEQAAtKpLfr4yevSQ6uokM7mqKmV076GsOM0icOTIEU2bNk1PPPGEcnNzW3xec0sMmpkuu+wyvf322/riF7+ovLw8XXjhhQ1rI+7cuVNNZzuoqanR17/+dd16660N3YuSlJ+fr02b4n8vHy1bAACgTTX79iszL0/Z55yj3l/7mmr27YvLfo8fP65p06bpuuuu09SpUyVJffv21c6dOyVFwlJ+fr6kSEtWfYuVJJWXl6tfv36SpLvvvlvr1q3T8uXL5ZzT0KFDJUWW6zl27NgJx7zxxhs1dOhQfec73zlh+7Fjx5STkxOX99UYYQsAALRp4Jyn1HXwYGV066aCe+/RwDlPdXqfzjndcMMNKiws1G233dawfcqUKSopKZEklZSUNIy5mjJliubPny/nnFatWqVevXqpoKBAtbW12r8/MhH5+vXrtX79el122WWSpMLCQv31r39t2Pf3vvc9HTx4UE888cRJ9XzwwQcaMeKk+dc7jW5ExNXMl2ZKkuZd7uf2WQBA6li5cqUWLFigoqIijR4dGWz/4IMP6s4779Q111yjZ599VoMGDdLzzz8vSbriiiu0dOlSDRkyRN26dWuYquH48eP68pe/LEnKzc3Vz372s4ZuxEmTJun111/XpZdeqvLycn3/+9/XsGHDGgbmf/vb39Y3v/nNhnruvffeuL9PwhYAAIjJ6Qvmx3V/X/rSl5odhyVJf/zjH0/aZmaaO3fuSduzs7O1cePGZvdz9dVXa/z48br//vs1YMCAFo9XWlqq4cOH67TTTmvHO4gN3YgAACBl5eTk6P7771dFRUWrz9u3b58eeOABLzXQsgUAAFLaxIkT23xOcXGxt+PTsgUAQJpqqUsNJ+rseSJsAQCQhrKzs7V//34CVxucc9q/f7+ys7M7vA+6EQEASEMDBgxQeXm59sZpUelUlp2drQEDBnT49YQtAADSUJcuXXTGGWcEXUZaoBsRAADAI8IWAACAR4QtAAAAjwhbAAAAHhG2AAAAPCJsAQAAeETYijNXXa1jZWWqYd4SAAAgwlbcVe/YobojR7R37o+CLgUAACQBJjWNk02jRstVVTU8rly4UJULF8q6dtWwd9cFWBkAAAgSLVtxctbyV5Q7eZKUETmllp2t3Csna8gflgdcGQAACBJhK0665Ocro0cPqa5OMpOrqlJG9x7KyssLujQAABAguhHjqGbffmXm5alLfr6yR45kkDwAACBsxdPAOU9p6/XTJUkF994TcDUAACAZ0I0IAADgEWELAADAI8IWAACAR4QtAAAAjwhbAAAAHhG2AAAAPCJsAQAAeETYAgAA8IiwBQAA4BFhCwAAwCPCFgAAgEeELQAAAI8IWwAAAB4RtgAAADwibAEAAHhE2AIAAPCIsAUAAOARYQsAAMAjwhYAAIBHhC0AAACPCFsAAAAeEbYAAAA8ImwBAAB4RNgCAADwiLAFAADgEWELAADAo/QKW/MmRT4AAAASJL3CFgAAQIIRtgAAADwibAEAAHhE2AIAAPCIsAUAAOARYQsAAMAjwhYAAIBHhC0AAACPCFtoHyaGBQCgXQhbCNS1T/9Z1z7956DLAADAG8IWAACAR4QtAAAAjwhbAAAAHhG2AAAAPCJsAQAAeETYAgAA8IiwBQAA4BFhC/Bo5kszNfOlmUGXAQAIEGELAADAI8IWAACAR+kVtmqqpV3rpcO7g64EAACkifQKWwe3SVWHpBUPBV0JAABIE+kTtg7vkj7ZE/l63XO0bgEAgIRIn7C14mHJucjXro7WLQAAkBDpEbYO74q0Zikatmqrad0CAAAJkR5ha8XDkdasxmjdAgAACZAeYat8daQ1q7Ha6sh2AAAAj7KCLiAhbn4z8nnepMjnmS8GVwsAAEgr6RG2Euj0BfODLiE0FpdWqHRbpapr63TR7Fc1a+LZumpM/6DLAgAgrtKjGxFJZ3Fphe56YYOqayNj6Soqj+quFzZocWlFwJUBABBfhC0E4pGX39fR47UnbDt6vFaPvPx+QBUBAOAHYQuB2FF5tF3bAQAIK8IWAtGvd067tgMAEFaELQRi1sSzldMl84RtOV0yNWvi2QFVBACAH97ClpkNNLPXzKzMzN4zs3/zdSyEz1Vj+usHU4t0SmbkEuzfO0c/mFrE3YgAgJTjc+qHGkn/r3NurZn1lPSOmS13zm30eEyEyFVj+usXq7dJkhbddGHA1QAA4Ie3li3n3E7n3Nro14cllUmi2QIAAKSVhIzZMrPBksZIeisRx0Oamjfps1UCAABIEt7Dlpn1kPRrSd9xzh1q5vs3mtkaM1uzd+9e3+UgBLZeP11br58edBkAAMSF17BlZl0UCVrPOedeaO45zrlnnHPjnHPj8vLyfJYDxB+taQCANvi8G9EkPSupzDn3uK/jAAAAJDOfLVsXSbpe0lfMbF304wqPxwMAAEg63qZ+cM69Kcl87R8AACAMfM6zhTRyyaJLtP/Y/obHRSVFkqQ+2X30+rWvB1QVAADBY7kexEXjoBXLdnQAg/EBIJQIWwAAAB4RtgAAADxKrzFbM18MugIAAJBmaNkCAADwiLCFuOiT3add2wEASBfp1Y0Ib+qnd5j50kxJ0rzL5wVYDQAAyYOWLQAAAI8IWwAAAB7RjYhALbrpwqBLAADAK1q2AAAAPCJsoX1qqqVd66XDu4OuBClk5kszG26uAIBUQ9hC+xzcJlUdklY8FHQlAACEAmELsTu8S/pkT+Trdc/RugUAQAwIW4jdiocl5yJfu7q0bN3aev10bb1+etBlAABChLCF2BzeFWnNUjRs1VbTugUAQAwIW4jNiocjrVmNpWnrFgAA7UHYQmzKV0dasxqrrY5sjzNXXa1jZWWq2bs37vsGACDRmNQUsbn5zcjneZMin2e+6O1Q1Tt2qO7IEe2d+yMV3Hdv3PbLuo0AgCAQtpA0No0aLVdV1fC4cuFCVS5cKOvaVcPeXRdgZemjfvD/6QvmB1wJAKQOuhGRNM5a/opyJ0+SMiKXpWVnK/fKyRryh+UBVwYAQMcRtpA0uuTnK6NHD6muTjKTq6pSRvceysrLC7o0AAA6jG5EJJWaffuVmZenLvn5yh45kkHyjdVUS/s2Rabb6Nk36GrSBl2rADqLli0klYFznlLXwYOV0a2bCu69RwPnPBV0ScmDpZIAIJQIW0AYxLBUEos5A0ByImwBYcBSSQAQWoQtINmxVBIAhBphC0h2LJUEAKFG2AKSXQKXSgIAxB9TPwDJLoFLJQEA4o+WLQAAAI8IWwBiwtQSANAxhC0AAACPCFsAAAAeMUAeCLlLFl2i/cf2NzwuKimSJPXJ7qPXr309oKoQFNZyBJIPLVtAyDUOWrFsBwAkFmELAFIYNzYAwSNsAZ1RUy3tWs/SOUlg6/XTG7rQACCZELaAzji4Tao6xNI5AIAWEbaAjjq8S/pkT+RrFoYGALSg1bBlZhlm9pdEFQOEyoqHJeciXwe4MHSf7D7t2g4ASKxWp35wztWZ2btmNsg5ty1RRQFJ7/CuSGuWomGrtjry+OI7pJ59E1pK/fQO9YOg510+L6HHR+pjOgmgc2LpRiyQ9J6Z/dHMflv/4bswIKmteDjSmtVYgK1bAIDkFcukpvd7rwIIm/LVkdasxmqrI9vDat4kadcO6fNFQVcCACmlzbDlnFthZqdLGuqc+4OZdZOU6b80IInd/Gbk87xJkc8zXwyslGuf/rMkqdvpgZXQYcx+DyAdtNmNaGbfkvQrSU9HN/WXtNhnUQDSA7PfA0gHsXQj/oukv5P0liQ55zabWb7XqpDWGIQLAEglsQyQr3LONQxOMbMsNdyCBQBAfLC0EFJVLC1bK8zs3yXlmFmxpH+W9Du/ZQHhxlgkoG1MKYF0EUvYulPSDZI2SLpJ0lJJP/FZFJCsXHW1qv72N9Xs3ausvLwWnxfPsUgNf5C+0u6XAgCSQCxh6xJJzznnfuy5FiDpVe/YobojR7R37o9UcN+9iT14G3c8hnEy0z7ZfZoNoMx+j2RDKxw6I5aw9b8l/beZ7Zf0RvTjTefcAZ+FAclk06jRclVVDY8rFy5U5cKFskzTsO+eEWBl4cbs90B48e82dm0OkHfOTXfOfUHSNEnlkuZK2uu7MCCZnLX8FeVOniRlRP7JWHa2cq+crCE3Dwy4MrQmTAOuw1QrktvW66c3tMQhObTZsmVm/yTpy5KKJO2TNEeR1i0gbXTJz1dGjx5SXZ1kJldVpYzuPZTVI5bG4fBwtU5VZWVtjknrKLpikAhhvs5oLUpNsUz98ISk0ZJ+LOlW59zDzrk/+y0LSD41+/YrMy9P2eeco95f+5pq9u1r8bktjTlK9rFI1QdrGsakoWW0QgFoj1iW6znNzIZL+ntJ3zezoZLed85d7706IIkMnPNUw/+YC+69J7KxfrmeJsI2FqnFMWldu2rYu+sCrAzJKizXNtJPMrZsxrJcT66kQZJOlzRYUi9JdX7LApBIZy1/RbmF3SWLPG4Yk/aH5cEWBgApIJYBJ282+pjjnCv3WxKAROuSn6+MrhmRtSEaj0nLy2OCVgDopFi6EUdKkpn1FMv0AAkX60SqnVXzaa0yu2eqy+Bhyh45UjV7Izcds1g0ACk5u+fCIpZuxBFmVirpL5I2mtk7ZjbCf2kApBMnUvVp4D9+Xl1P7aKMbt1UcO89GjjnKa/HAxLFxw0N3CThR6qe11i6EZ+RdJsDomTNAAAd7UlEQVRz7jVJMrNLotu+6LEuIO0xaB1APHAzQ/Bimfqhe33QkiTn3OuSunurCICkViZSDdGg9Wuf/rOufZqZYgCkt1jC1odm9h9mNjj68T1JH/kuDEh3LU6k6mvcVk21+o7YoYzMY372jxMwyzeQPmLpRvyGpPslvaDIjeF/kpR6HaqITRuLISO+6idS7ZKff8KgdS8OblPX3GPqpfdP2Mxi0QDQObHcjXhA0q1m1ktSnXPusP+yAEgtTKTqw+Fd0id7ZCb16LlNOrxb6tlXUvgmaAUQHulyh2MsdyOeZ2YbJL0raYOZvWtm5/ovDUDCrHhYcpGZXUxOWvFQwAUBQOqIZczWs5L+2Tk32Dk3WNK/SOK/tkCqOLxLWvec6qfRswwXeXx4d7B1hQA3AKCzGLuXHmIJW4edc2/UP3DOvSmJrkQgVax4WHJNVuBydbRuAUCcxDJAfrWZPS3pF4r81/daSa+b2VhJcs6t9VgfAN/KV0u11Sduq62ObAcAdFosYWt09PO9TbZ/UZHw9ZW4VgQgsW5+M/J53iRt/fkO6fNFKT9YFQASKZa7EccnohCg02qqpX2bTriTLtUtLq1Q6bZKVdfW6aLZr2rWxLN11Zj+QZcFAGgkljFbQDgc3CZVHUqbsUaLSyt01wsbVF0bGW9VUXlUd72wQYtLKwKuDADQGGELqSE6T5SktLmT7pGX39fR47UnbDt6vFaPvPx+C68AAAQhljFbQPJrNE9Uw510kx8PtqY4aWn81I7Ko+3aDgAIRpthy8ymNrP5oKQNzrk98S8JaKcm80Sptjry+OI7UnrsVr/eOapoJlj1650TQDUna2482ZigiwKAAMTSjXiDpJ9Iui768WNJt0laaWbXe6wNiE2azhM1a+LZyumSecK2nC6ZmjXx7IAq+kxL48mW5wwKuDIATTE5r3+xhK06SYXOuWnOuWmSzpFUJel8SXf4LA6ISZrOE3XVmP76wdQinZIZ+Wfcv3eOfjC1KCnuRmxpPNmPc0cGVBEABCeWMVuDnXONRxvvkfQF59zHZnbcU11A7BrNEyVJmvlicLUk2FVj+usXq7dJkhbddGHA1XympXFjezK7JbgSAAheLGHrDTP7vaTno4+vlvQnM+suqdJbZQBCq6XxZPm1nwZQTee46mpV/e1vqtm7V1l5eUGXAyCEYulGrF94erSkMZJKJP2Lc+4TJjwF0JyWxpN969B678eO9/iT6h07VHfkiPbO/VHc9gkgvcQyg7wzszclVStyu9dq5+rvsQeAk9WPG7v9V+tVXVun/r1zNGvi2Ro9+6c6FpJWok2jRstVVTU8rly4UJULF8q6dpUe4r5KALFrs2XLzK6RtFqR7sNrJL1lZlf7LgxAuF01pr/GDOqt8884VSv7Pqar1t0Yqlais5a/otzJk6SMyK9Jy85W7pWTNeQPywOuDEDYxDJm625J59XPqWVmeZL+IOlXPgsDkDo2PfqRXO1nDeKNW4mGvbsuwMpa1iU/Xxk9ekh1dZKZXFWVMrr3SPoWOQDJJ5awldFk8tL9YpkfAO1w1s0DtefV/Tr0/lGprk6Wna2exZeq7+23S5LmXT4v4AqbV7NvvzLz8tQlP1/ZI0eqZu/eoEsCEEKxhK2XzOxlSb+IPr5W0lJ/JQFINV16ZCmja0boWokGznlKW6+fLkkquPeegKtBWNTfoJFM07EgWLEMkJ9lZtMkXSTJJD3jnPuN98oApJSaT2tpJQI6gRAX3nMQ00LUzrlfS/q151qA8EmlCVRnvii9Ot3b7gf+4+e19dU+kmglAlJdWEORLy2GLTM7rIaVfU/8liIzQuS2tmMz+x9JkyXtcc6N6FSVAJCiLll0ifYf29/wuKikSJLUJ7uPXr/29YCqAhBPLQ50d871dM7lNvPRs62gFfVTSZfHrVIAaGrepM+WaQqpxkErlu0AwsfbXYXOuT9J+tjX/gEAAMIgpjFbPpnZjZJulKRBgwYFXA3QutMXzA+6hMAk6/QM6BjG1ACJE/h8Wc65Z5xz45xz4/KS/DZwAEDr4r02JZAKAg9bAIDmEVyA1BB4NyLgG3d7xS6du0kTzVVXq+pvf9MZF/fWR10qT/p+n+w+0rEACgMQd95atszsF5L+LOlsMys3sxt8HQtoDXd7BWfRTRcyJqgF9YtyP11+qTbM2KBxfcdpXN9x2jBjgzbM2MB/BJqglQ9h5q1lyzn3dV/7RvJiEDXQuk2jRstVVTU8rl+U+7Ys0+OPnh+349CiCyQPxmwBQAKdtfwV5U6eJGVEfv1adrZyr5ysp+8ZE9fj0KILJA/CFgB0wK7dA1W6rVJvffSxLpr9qhaXVsT0ui75+cro0eOkRbk/yT3Fc8UAgsIAeQBop127B+r9989VXV2dJKmi8qjuemGDJOmqMf3bfH3Nvv0syg2kEVq2kPL6ZPdp13agLR9+OEJ1dSf+X/Xo8Vo98vL7Mb1+4Jyn1HXwYGV066aCe+/RwDlP+SgTMWDgPRKBli2kvPrBwDNfmimJQfzovKqqbs1u31F5NMGVAAgDwhYQckytkHhdu36qqqruJ23v1zsngGqa1ye7T7OD4WnRBRKPsAUA7XTmmX+Jjtn67FdoTpdMzZp4doBVnShMLbq+pqlg+gskC8IWALTT5/tulyT97YMLVV1bp/69czRr4tkxDY7HyXxNU8H0F0gWhC0A6IDP992u3GP/ICn1u3Lrlxaq2btXWXl5QZeDgNFi2H7cjQgAaFX90kJ75/4o6FIC46qrdaysjGk6RIthRxC2AADN2jRqtMqGFao2GjAqFy5U2bBCbRo1OuDKWlcfjHodcXHbJ4ETnUHYAoAUEs8WmOaWFnqrKFvfvLFGa3av0Zrda1RUUqSikiJdsuiSTh8vXuqD0dVv1nV6Xy0Fztu++1an9430wZgtAP7VVEv7Nikj80LV1WYHXU2HNR2rouw10e3JM1alcQtMwX33dmpfzS0tVJklHeyRedJzO9KFVD8W7IyLe+ujLpUnfb+901Q0XeR7YqnTxNIaVWdK/3T7Z3/u2rPfs5a/oj0PP6xDS5dJdXWy7Gz1LL5UPzhvR7tqQ3ojbAHw7+A2qeqQen3ufR3YNyroato2b1Lk88wXT9iczGNVmgaNyoULVblwoW7LMj3+6Pkd3m/TpYV6v7MwHuVK+iwYPl0+WQX33dvpaSpaC0bjck/p0H59r2XJzQfpgbAFwK/Du6RP9kiSevTcpoMHkmcuqlTiqwVm4JyntPX66ZKkgnvv0WMlz3e6Vl/B0Fcw8rmWZX3g/Mn/M1Fzi483bE/mO/x8TJib6nc4ErYA+LXiYclFBiqbnHp9Lrb1Azvj/a7fVVHJoYbHqfaLuzm+W2DiyWfXnI9g1DRwSpKirXAd1TRwXrzmqC5eo5O6PJOh1bRefSvcHx5fqqy8vLhOmJvMrcbxwAB5AP4c3iWte05SNGxlOOX22SUd3u31sLV2qNntqfKLuyX1QSP7nHPU+2tfU82+fUGX1CyfwTAsi3w3vfmgKkv603DTv/zzyePhkgV3ZHYcLVsA/FnxsOSa3BHm6qQVD0mTHw+mphTmowWmqXh1IfnsmguDpoGzS63T0VOkgz0sbseIV9ecr25f6bPWsl4XuLi+92RD2ALgT/lqqbb6xG211ZHtIcTizvFbczERwdCHeI4tahw4F3fdqM8diWel8eua89nt+9k0HaZnL0/eVr3OImwB8OfmNyOfW7i7L2yaBo1Pt94oSVo0I7WX68Fn4jm2qHHg/J9Lkzdo+Oj2jXWajlTBmC0AAALWUutoR1pNfcygH+/xgCeNWevS/Ji1VGk1Tr34CCDtZbrcZgfJp8ovbqSeeHXPSn665uLd7du0taxrjTSl6FqtOmuLpM69/2Scu4ywBSDlnF31qBbddGFcb00Hkl3YuuZ83SQRz1UU4oVuRAAAUkDYuubiPU1HMi+cnnxRFwAQuxS5+SAskvmOVJ9dc2HQ0l2TfW+/PejSCFsAQiy6wLXvSVKBevEcW+VDOs9f1tJdk8kwbouwBSC8ogtca8VDQVcCJIWwzl8WL8kaNhmzBSCcGi1wrXXPKSPzmJbnDFLptkq99dHHumj2q9q1e2CwNXbC4tKKE97L4tKKoEtCgLgeYpOsyzXRsgUgnBotcC1Xp8On7dAjGdepujayPFBF5VHtPHRugAV23OLSCt31woYT3stdL2yQJF01pn+QpSEAXA/hR8sWgPBpssC1aqt1ZvdNys04cb2TurosffjhiMTX10mPvPy+jh6vPWHb0eO1euTl9wOqCEHiegg/whaA8GlmgWuT079mvXDSU6uquiWqqrjZUXm0XduR2rgewo+wBSB8mlnguqvV6NyMzSc9tWvXTxNVVdz0653Tru3omLCMg+J6CD/CFuDRvMvnJd2t4Snh5jel+w5Kp38p8nHfQf1kx79q6rEHTnhaRkaNzjzzLwEV2T6Nr5VZE89WTpcTJ6LM6ZKpWRPPDqK0lNTSOKhkDFxhux7CEmITibAFICUUH92mWZVv65TMyK+1/r1zdPbZ7+jzfbcHXFn7XTWmv34wteiE9/KDqUVJPxg6TH9kwzQOKkzXQ5hCbCJxNyKAlFF8dJuWD4rMqB5ZG3FBwBW17PQF81v9/lVj+usXq7dJiryXZBe2O+Z8jYOqD5zVtXW6aParmjXx7Li8/7BcD62F2GS8DhKFli0AQKeFqaVI8jMOilYdv4P5w9Ry2hRhCwDQaWG7Y87HOKiwBU4ffA3mD3uQJWwBQActuunC2Lt05k36bNHoFBS2O+Z8jIMKW+D0wddg/rAHWcIWAKQZH90xYbtjTooErjGDeuv8M07Vyju/0ukxRTEFziQL3fG+FnwN5g97kCVsAUAa8dUdE6Y75nwJW+D0eS3EM8RK4Ws5bYqwBQBpxGd3jI8/smEStsAZpq65sAXZppj6AQDSSNi7Y5JdWKZokMJ1LdQH1tt/tV7VtXXq3zsnbtNqJAItWwBSgquu1rGyMvX45GDQpSS1MHbHhPmW/2QWtmshzC2nhC0AKaF6xw7VHTmii1f9NuhSklrYumPCfst/MgvbtRBmdCMCCLVNj34k91Bhw+Pz1r+m89a/pk0/6io9NKbT+29rpvewCVt3DDOS+xO2ayHMCFsA/Jv5orddn3XzQO3ZWqRDS5dJdXWqzjpFm4aM1bQfPyy9c7u344YZ44pQL0zXQpjRjQgg1Lr0yFJGjx5SXZ1kpqya46o6JUdZeXlBl4Y4CNu4IqA5hC0AoVezb78y8/KUfc45WjPyEnVnkHzKYFwRUgHdiABCb+Ccp7T1+umSpKVful6SNC3IghA3jCtCKiBsAQASo36ZmnaO4WNcUQrp4DUQdnQjAgAQZkm23iJORtgCAADwiLAFAEBTtBaF5xyEoE7CFgAAgEeELQAAAI8IWwAAAB4x9QMAIKXNu3xe0CUgzRG2kDrSbN4WAFFpOncTwoNuRAAAAI8IWwAAAB4RtgAAADxizBYAAAE5fcH8oEtAAtCyBQAA4BFhCwAAwCO6EQGEV4rf6r/opguDLgFAHBC2ACCFMaEnEDzCFgAgbdF6iEQgbAFAUzXV0r5N0uHdUs++QVcDJCVaTWNH2AKApg5uk6oOSSsekiY/HnQ1aYM/3khVhC0AaOzwLumTPZGv1z0nXXwHrVshw9xVSDaELQBobMXDknORr10drVstoBUKiB1hCwDqHd4Vac1SNGzVVtO6BUnJ0VqWDoP5UzXEE7YAoN6KhyOtWY0107qVqn8QgERLhhCbCIQtAKhXvjrSmtVYbXVkO5Dm0iUY+UDYAoB6N78Z+TxvUuRzis9QDyAxWBsRAADAI8IWAOBk8yZ91sIHoFPoRgQAtKo9Y3XS4Y45n3zcfMENHcEjbAFIKfyxB5BsCFtIG/zvLv2kxc88xOs4hvnutrS4thA3jNkCgDBrvI4jgKREyxYAhFVz6zgCSYDu/BPRsgUAiVBTLe1aH+nui5fm1nEEkHQIWwCQCPHu7mthHceMzGPx2T+AuCFsAYBvTbv74tG61cI6jr0+937n9w0grghbAOCbj+6+FtZx7Jr9cef3DSCuGCAPAD610N2ni+/o3FQNLazjuOv66R3fJ+KCweFoymvLlpldbmbvm9lfzexOn8cCgKTUQncfg9mB9OGtZcvMMiXNlVQsqVzS22b2W+fcRl/HBICk00J3n8pXB1NPFK0vCKNYrttknCzXZzfi30n6q3PuQ0kys4WSviqJsAUgfbTQ3QcgffgMW/0lbW/0uFzS+R6PBwBpLxn/V4/E4hpIPj7HbFkz29xJTzK70czWmNmavXv3eiwHAAAg8Xy2bJVLGtjo8QBJO5o+yTn3jKRnJGncuHEnhTEAABhjhjDz2bL1tqShZnaGmZ0i6WuSfuvxeAAAAEnHW9hyztVI+raklyWVSfqlc+49X8cDACBufKxlibTldZ4t59xS59wXnHNnOee+7/NYAADETbzXskRaY7keAAAa87GWJdIaYQsAkBhh6ZrzsZYl0hphCwCQGGHommtpLctkD4hhEZbAHWeELQCAfz675uL5B9z3WpZhChs+ag1D4PaAsAUA8M9n11w8/4D7XssyTGEj3rX6CtwhCLCELQCAXz675uL9B/zmN6X7Dkqnfynycd/ByEf9GpfJVKtPPmr1FbhDEGAJWwAAv3x2zYVpMHs61+orcIckwBK2AAAni2fXjK+uuTANZvdZa7y70XzU6itwhyTAErYAACeLZ9eMr64534PZ48lnrZ38WS266cIT1570UauPwB2isE3YAgCcKCRdM94Hs8eTz9a9eP+sfNTqI3CHKGxnBV0AACDJNNc1M/nxYGtqTv0f6nmTIp9nvhhcLW3xVauPn1VYzmuIwjZhCwDwmZa6Zi6+Q+rZN9DS0ES6/6zCEgpFNyIAoLEQdc2kPX5WoUHYAgB8JkRdM2mPn1Vo0I0IAPhMiLpm0h4/q9CgZQsAAMAjwhYAAIBHhC0AAACPCFsAAAAeEbYAAAA8ImwBAAB4RNgCAADwiLAFAADgEWELAADAI8IWAACAR4QtAAAAjwhbAAAAHhG2AAAAPCJsAQAAeETYAgAA8IiwBQAA4FFW0AUAQNKZ+WLQFQBIIbRsAQAAeETYAgAA8IiwBQAA4BFhCwAAwCPCFgAAgEfcjQgAicAdjkDaomULAADAI1q2AAAnoyUOiBtatgAAADwibAEAAHhE2AIAAPCIsAUAAOARA+QBIMwYyA4kPVq2AAAAPKJlCwCApmgxRBzRsgUAAOARYQsAAMAjwhYAAIBHhC0AAACPGCAPAAg3BrMjydGyBQAA4BEtWwBSwukL5gddAgA0i7AFAEgMuvuQpuhGBAAA8IiWLQAAcDIfLZFp2rpJ2AIAAOEVggBHNyIAAIBHhC0AAACPCFsAAAAeEbYAAAA8ImwBAAB4RNgCAADwiLAFAADgEWELAADAIyY1BQAgzEIwqWe6o2ULAADAI8IWAACAR3QjAgCQKHT5pSVatgAAADwibAEAAHhE2AIAAPCIsAUAAOARYQsAAMAjwhYAAIBHhC0AAACPCFsAAAAeEbYAAAA8ImwBAAB4RNgCAADwiLAFAADgEWELAADAI8IWAACAR4QtAAAAjwhbAAAAHhG2AAAAPCJsAQAAeETYAgAA8Micc0HX0MDM9kraGnQdIXSapH1BF5FmOOeJxzkPBuc98TjnidfRc366cy6vrSclVdhCx5jZGufcuKDrSCec88TjnAeD8554nPPE833O6UYEAADwiLAFAADgEWErNTwTdAFpiHOeeJzzYHDeE49znnhezzljtgAAADyiZQsAAMAjwlaImdl3zcyZ2WktfL/WzNZFP36b6PpSUQznfIaZbY5+zEh0fanEzB4ws/XR6/cVM+vXwvO4zuOoHeedaz1OzOwRM9sUPe+/MbPeLTxvi5ltiP5s1iS6zlTSjnN+uZm9b2Z/NbM7O3w8uhHDycwGSvqJpGGSznXOnTQ/iJkdcc71SHhxKaqtc25mp0paI2mcJCfpnejzDiS61lRgZrnOuUPRr2+VdI5z7uZmnsd1HkexnHeu9fgys8skveqcqzGzhyTJOXdHM8/bImlcc7/v0T6xnHMzy5T0gaRiSeWS3pb0defcxvYej5at8PovSbcr8osOidHWOZ8oablz7uPoH53lki5PVHGppv4PflR3ca0nRIznnWs9jpxzrzjnaqIPV0kaEGQ96SDGc/53kv7qnPvQOVctaaGkr3bkeIStEDKzKZIqnHPvtvHUbDNbY2arzOyqRNSWqmI85/0lbW/0uDy6DR1kZt83s+2SrpN0TwtP4zqPsxjOO9e6P9+QtKyF7zlJr5jZO2Z2YwJrSnUtnfO4XedZHXkR/DOzP0j6fDPfulvSv0u6LIbdDHLO7TCzMyW9amYbnHN/i2edqSQO59ya2UZrTCtaO+fOuSXOubsl3W1md0n6tqR7m3ku13k7xeG8c623U1vnPPqcuyXVSHquhd1cFL3W8yUtN7NNzrk/+ak4/OJwzuN2nRO2kpRz7tLmtptZkaQzJL1rZlKk6XOtmf2dc25Xk33siH7+0MxelzRGEn+EWhCHc14u6ZJGjwdIet1LsSmipXPejJ9LelHNhC2u8/aLw3nnWm+nts559CaDyZImuBYGUze61veY2W8U6eYibLUgDue8XNLARo8HSNrRkVroRgwZ59wG51y+c26wc26wIhfD2KZBy8w+Z2Zdo1+fJukiSe0e1IfYz7mklyVdFj33n1OkJezlBJebMsxsaKOHUyRtauY5XOdxFst5F9d6XJnZ5ZLukDTFOfdpC8/pbmY9679W5Jz/JXFVppZYzrkiA+KHmtkZZnaKpK9J6tAdz4StFGJm48zsJ9GHhZLWmNm7kl6TNLsjd1CgdY3PuXPuY0kPKPIP9G1J/xndho6ZbWZ/MbP1ivxh+TeJ6zwB2jzvXOtxN0dST0W6BteZ2X9Lkpn1M7Ol0ef0lfRm9FpfLelF59xLwZSbEto859EB9N9W5D8SZZJ+6Zx7ryMHY+oHAAAAj2jZAgAA8IiwBQAA4BFhCwAAwCPCFgAAgEeELQAAAI8IWwC8MbMjcdrPsOjt2aVmdlY89gkAiULYAhAGV0la4pwb03gpHovg9xiApMYvKQDeRUPRI9HJMjeY2bXR7Rlm9iMze8/Mfm9mS83s6iavvULSdyR908xeM7PBZlZmZj+StFbSQDO7zMz+bGZrzex5M+sRfe3lZrbJzN40sx+a2e+j2+8zs+82OsZfzGxw9Ot/MrPV0Za0p80sM7r9SHSB5neji173jW7va2a/iW5/18y+aGYPmNm/Ndr/983sVn9nGEAyI2wBSISpkkZLGiXpUkmPmFlBdPtgSUWSvinpwqYvdM4tlfTfkv7LOTc+uvlsSfOdc2MkfSLpe5Iudc6NlbRG0m1mli3px5KulPRlNb8g7QnMrFDStYos+DtaUq2k66Lf7i5plXNulCLr0X0ruv2HklZEt4+V9J6kZyXNiO4zQ5FlPlpaXBhAimMhagCJ8CVJv3DO1UrabWYrJJ0X3f68c65O0i4zey3G/W11zq2Kfn2BpHMkrYwuFH6KpD9LGibpI+fcZkkys59JurGN/U6QdK6kt6P7ypG0J/q9akm/j379jqTi6NdfkTRdkqLv76Ckg2a238zGKLLMSqlzbn+M7w1AiiFsAUgEa+f2tnzSZB/LnXNfP2HHZqMltbQeWY1ObNnPbrSvEufcXc285rj7bH2zWrX9+/Mnkv63Ii1q/9PGcwGkMLoRASTCnyRda2aZZpYn6e8VWUz3TUnTomO3+kq6pAP7XiXpIjMbIklm1s3MviBpk6QzGt292DiMbVGky09mNlbSGdHtf5R0tZnlR793qpmd3sbx/yjplujzM80sN7r9N5IuV6QF7+UOvC8AKYKwBSARfiNpvaR3Jb0q6Xbn3C5Jv5ZULukvkp6W9JYi3XAxc87tVaQF6Rdmtl6R8DXMOXdMkW7DF83sTUlbG73s15JONbN1igSlD6L72qjI+K9XovtaLqmgjRL+TdJ4M9ugSPfi8Oi+qiW9JumX0e5FAGnKPmsVB4DEM7MezrkjZtZHkdaui6JBLN7HuUTSd51zk+O97xaOl6HI3ZL/q37cGID0xJgtAEH7vZn1VmRg+wM+glaimdk5igym/w1BCwAtWwAAAB4xZgsAAMAjwhYAAIBHhC0AAACPCFsAAAAeEbYAAAA8ImwBAAB49H8B3PmzizmjEQcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,8))\n",
    "plt.errorbar(F1_binned_00_c, per_data_binned_00_c, yerr=per_data_b_std_00_c, fmt='o', label='2000')\n",
    "plt.errorbar(F1_binned_06_c, per_data_binned_06_c, yerr=per_data_b_std_06_c, fmt='^', label='2006')\n",
    "plt.errorbar(F1_binned_091_c, per_data_binned_091_c, yerr=per_data_b_std_091_c, fmt='s',label='2009(1)')\n",
    "plt.errorbar(F1_binned_092_c, per_data_binned_092_c, yerr=per_data_b_std_092_c, fmt='*',label='2009(2)')\n",
    "plt.xlabel(\"log frequency\")\n",
    "plt.ylabel(\"log power\")\n",
    "plt.title(\"2-10 keV\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig= plt.figure(figsize=(15,15))\n",
    "ax1 = plt.subplot(221)\n",
    "ax2 = plt.subplot(222)\n",
    "ax3 = plt.subplot(223)\n",
    "ax4 = plt.subplot(224)\n",
    "\n",
    "ax1.step(F1_binned_00_a, p_times_f_data_b_00_a, where='mid',color=\"b\")\n",
    "ax2.step(F1_binned_06_a, p_times_f_data_b_06_a, where='mid',color=\"orange\")\n",
    "ax3.step(F1_binned_091_a, p_times_f_data_b_091_a, where='mid', color=\"g\")\n",
    "ax4.step(F1_binned_092_a, p_times_f_data_b_092_a, where='mid', color=\"r\")\n",
    "\n",
    "ax1.errorbar(F1_binned_00_a, p_times_f_data_b_00_a, yerr=per_data_b_std_00_a, fmt=',',color=\"b\", label='2000')\n",
    "ax2.errorbar(F1_binned_06_a, p_times_f_data_b_06_a, yerr=per_data_b_std_06_a, fmt=',',color=\"orange\", label='2006')\n",
    "ax3.errorbar(F1_binned_091_a, p_times_f_data_b_091_a, yerr=per_data_b_std_091_a, fmt=',',color=\"g\",label='2009(1)')\n",
    "ax4.errorbar(F1_binned_092_a, p_times_f_data_b_092_a, yerr=per_data_b_std_092_a, fmt=',',color=\"r\",label='2009(2)')\n",
    "\n",
    "\n",
    "ax1.set_xlabel(\"log frequency\",fontsize=20)\n",
    "ax1.set_ylabel(\"log power*frequency\",fontsize=20)\n",
    "ax1.set_xlim(-5.0,-3.0)\n",
    "ax1.set_ylim(-5,-1)\n",
    "ax1.tick_params(labelsize=15)\n",
    "ax1.set_title(\"PSD 2000 (0.3-1keV)\",fontsize=25)\n",
    "ax2.set_xlabel(\"log frequency\",fontsize=20)\n",
    "ax2.set_ylabel(\"log power*frequency\",fontsize=20)\n",
    "ax2.set_xlim(-5.0,-3.0)\n",
    "ax2.set_ylim(-5,-1)\n",
    "ax2.tick_params(labelsize=15)\n",
    "ax2.set_title(\"PSD 2006 (0.3-1keV)\",fontsize=25)\n",
    "ax3.set_xlabel(\"log frequency\",fontsize=20)\n",
    "ax3.set_ylabel(\"log power*frequency\",fontsize=20)\n",
    "ax3.set_xlim(-5.0,-3.0)\n",
    "ax3.set_ylim(-5,-1)\n",
    "ax3.tick_params(labelsize=15)\n",
    "ax3.set_title(\"PSD 2009(1) (0.3-1keV)\",fontsize=25)\n",
    "ax4.set_xlabel(\"log frequency\",fontsize=20)\n",
    "ax4.set_ylabel(\"log power*frequency\",fontsize=20)\n",
    "ax4.set_xlim(-5.0,-3.0)\n",
    "ax4.set_ylim(-5,-1)\n",
    "ax4.tick_params(labelsize=15)\n",
    "ax4.set_title(\"PSD 2009(2) (0.3-1keV)\",fontsize=25)\n",
    "ax1.tick_params(labelsize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig= plt.figure(figsize=(20,20))\n",
    "ax1 = plt.subplot(221)\n",
    "ax2 = plt.subplot(222)\n",
    "ax3 = plt.subplot(223)\n",
    "ax4 = plt.subplot(224)\n",
    "\n",
    "ax1.step(F1_binned_00_c, p_times_f_data_b_00_c, where='mid',color=\"b\")\n",
    "ax2.step(F1_binned_06_c, p_times_f_data_b_06_c, where='mid',color=\"orange\")\n",
    "ax3.step(F1_binned_091_c, p_times_f_data_b_091_c, where='mid', color=\"g\")\n",
    "ax4.step(F1_binned_092_c, p_times_f_data_b_092_c, where='mid', color=\"r\")\n",
    "\n",
    "ax1.errorbar(F1_binned_00_c, p_times_f_data_b_00_c, yerr=per_data_b_std_00_c, fmt=',',color=\"b\", label='2000')\n",
    "ax2.errorbar(F1_binned_06_c, p_times_f_data_b_06_c, yerr=per_data_b_std_06_c, fmt=',',color=\"orange\", label='2006')\n",
    "ax3.errorbar(F1_binned_091_c, p_times_f_data_b_091_c, yerr=per_data_b_std_091_c, fmt=',',color=\"g\",label='2009(1)')\n",
    "ax4.errorbar(F1_binned_092_c, p_times_f_data_b_092_c, yerr=per_data_b_std_092_c, fmt=',',color=\"r\",label='2009(2)')\n",
    "\n",
    "\n",
    "ax1.set_xlabel(\"log frequency\",fontsize=20)\n",
    "ax1.set_ylabel(\"log power*frequency\",fontsize=20)\n",
    "ax1.set_xlim(-5.0,-3.0)\n",
    "ax1.set_ylim(-5,-1)\n",
    "ax1.tick_params(labelsize=15)\n",
    "ax1.set_title(\"PSD 2000 (2-10keV)\",fontsize=25)\n",
    "ax2.set_xlabel(\"log frequency\",fontsize=20)\n",
    "ax2.set_ylabel(\"log power*frequency\",fontsize=20)\n",
    "ax2.set_xlim(-5.0,-3.0)\n",
    "ax2.set_ylim(-5,-1)\n",
    "ax2.tick_params(labelsize=15)\n",
    "ax2.set_title(\"PSD 2006 (2-10keV)\",fontsize=25)\n",
    "ax3.set_xlabel(\"log frequency\",fontsize=20)\n",
    "ax3.set_ylabel(\"log power*frequency\",fontsize=20)\n",
    "ax3.set_xlim(-5.0,-3.0)\n",
    "ax3.set_ylim(-5,-1)\n",
    "ax3.tick_params(labelsize=15)\n",
    "ax3.set_title(\"PSD 2009(1) (2-10keV)\",fontsize=25)\n",
    "ax4.set_xlabel(\"log frequency\",fontsize=20)\n",
    "ax4.set_ylabel(\"log power*frequency\",fontsize=20)\n",
    "ax4.set_xlim(-5.0,-3.0)\n",
    "ax4.set_ylim(-5,-1)\n",
    "ax4.tick_params(labelsize=15)\n",
    "ax4.set_title(\"PSD 2009(2) (2-10keV)\",fontsize=25)\n",
    "ax1.tick_params(labelsize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
